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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW805_1 : TPTP v9.3.1. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:44:58 PM UTC 2026

% Result   : Unsatisfiable 0.33s 0.42s
% Output   : Refutation 0.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  136 (  17 unt;   0 typ;  17 def)
%            Number of atoms       : 1630 (1012 equ)
%            Maximal formula atoms :  103 (  11 avg)
%            Number of connectives : 2458 ( 964   ~; 688   |; 519   &)
%                                         (  87 <=>; 194  =>;   0  <=;   6 <~>)
%            Maximal formula depth :   51 (   9 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     : 1820 ( 396 atm;   0 fun; 787 num; 637 var)
%            Number of types       :    2 (   0 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   24 (  17 usr;  13 prp; 0-2 aty)
%            Number of functors    :  229 ( 227 usr;  70 con; 0-12 aty)
%            Number of variables   :  637 (   0 sgn 515   !; 122   ?; 637   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    x_3: $int ).

tff(func_def_1,type,
    ownerRef: $int ).

tff(func_def_2,type,
    localinv: $int ).

tff(func_def_3,type,
    'System_Collections_IEnumerable': $int ).

tff(func_def_4,type,
    'StringEquals': ( $int * $int ) > $int ).

tff(func_def_5,type,
    intLess: ( $int * $int ) > $int ).

tff(func_def_6,type,
    'System_Array': $int ).

tff(func_def_7,type,
    'TypeObject': $int > $int ).

tff(func_def_8,type,
    'System_Int16': $int ).

tff(func_def_9,type,
    anyEqual: ( $int * $int ) > $int ).

tff(func_def_10,type,
    'AsPeerField': $int > $int ).

tff(func_def_11,type,
    'ArrayCategoryInt': $int ).

tff(func_def_12,type,
    'StructGet': ( $int * $int ) > $int ).

tff(func_def_13,type,
    false_1: $int ).

tff(func_def_14,type,
    sharingMode: $int ).

tff(func_def_15,type,
    'InRange': ( $int * $int ) > $int ).

tff(func_def_16,type,
    'ArrayIndexInvY': $int > $int ).

tff(func_def_17,type,
    'IntArray': ( $int * $int ) > $int ).

tff(func_def_18,type,
    'AsOwner': ( $int * $int ) > $int ).

tff(func_def_19,type,
    'ValueArraySet': ( $int * $int * $int ) > $int ).

tff(func_def_20,type,
    'System_IConvertible': $int ).

tff(func_def_21,type,
    'System_Int64': $int ).

tff(func_def_22,type,
    'System_Int32': $int ).

tff(func_def_23,type,
    'Heap': $int ).

tff(func_def_24,type,
    'DeclType': $int > $int ).

tff(func_def_25,type,
    'ArraySum_Even_System_Int32_1': $int > $int ).

tff(func_def_26,type,
    'LBound': ( $int * $int ) > $int ).

tff(func_def_27,type,
    sum_x0: ( $int * $int * $int * $int * $int * $int * $int ) > $int ).

tff(func_def_28,type,
    'AsPureObject': $int > $int ).

tff(func_def_29,type,
    boolNot: $int > $int ).

tff(func_def_30,type,
    'ArraySum_a': $int ).

tff(func_def_31,type,
    intAtLeast: ( $int * $int ) > $int ).

tff(func_def_32,type,
    'RefArraySet': ( $int * $int * $int ) > $int ).

tff(func_def_33,type,
    store1: ( $int * $int * $int ) > $int ).

tff(func_def_34,type,
    'System_Object': $int ).

tff(func_def_35,type,
    'Unbox': $int > $int ).

tff(func_def_36,type,
    typeof: $int > $int ).

tff(func_def_37,type,
    'ArrayCategoryNonNullRef': $int ).

tff(func_def_38,type,
    'IfThenElse': ( $int * $int * $int ) > $int ).

tff(func_def_39,type,
    int_m2147483648: $int ).

tff(func_def_40,type,
    'TypeName': $int > $int ).

tff(func_def_41,type,
    'System_String_Equals_System_String_System_String': ( $int * $int * $int ) > $int ).

tff(func_def_42,type,
    'AsDirectSubClass': ( $int * $int ) > $int ).

tff(func_def_43,type,
    'IsStaticField': $int > $int ).

tff(func_def_44,type,
    'System_String_IsInterned_System_String_notnull': ( $int * $int ) > $int ).

tff(func_def_45,type,
    'System_UInt64': $int ).

tff(func_def_46,type,
    boolImplies: ( $int * $int ) > $int ).

tff(func_def_47,type,
    or_1: ( $int * $int ) > $int ).

tff(func_def_48,type,
    shl: ( $int * $int ) > $int ).

tff(func_def_49,type,
    boolAnd: ( $int * $int ) > $int ).

tff(func_def_50,type,
    'System_Boolean': $int ).

tff(func_def_51,type,
    'As': ( $int * $int ) > $int ).

tff(func_def_52,type,
    'ArrayCategoryRef': $int ).

tff(func_def_53,type,
    'AsNonNullRefField': ( $int * $int ) > $int ).

tff(func_def_54,type,
    x_2: ( $int * $int ) > $int ).

tff(func_def_55,type,
    allocated: $int ).

tff(func_def_56,type,
    'AsRangeField': ( $int * $int ) > $int ).

tff(func_def_57,type,
    and_1: ( $int * $int ) > $int ).

tff(func_def_58,type,
    'SharingMode_LockProtected': $int ).

tff(func_def_59,type,
    'IntArrayGet': ( $int * $int ) > $int ).

tff(func_def_60,type,
    'Is': ( $int * $int ) > $int ).

tff(func_def_61,type,
    'IsAllocated': ( $int * $int ) > $int ).

tff(func_def_62,type,
    int_m9223372036854775808: $int ).

tff(func_def_63,type,
    'ElementProxyStruct': ( $int * $int ) > $int ).

tff(func_def_64,type,
    'ArrayIndex': ( $int * $int * $int * $int ) > $int ).

tff(func_def_65,type,
    select1: ( $int * $int ) > $int ).

tff(func_def_66,type,
    min: ( $int * $int ) > $int ).

tff(func_def_67,type,
    'AsRefField': ( $int * $int ) > $int ).

tff(func_def_68,type,
    'ArraySum': $int ).

tff(func_def_69,type,
    'System_IntPtr': $int ).

tff(func_def_70,type,
    'Length': $int > $int ).

tff(func_def_71,type,
    'AsElementsPeerField': ( $int * $int ) > $int ).

tff(func_def_72,type,
    'ValueArrayGet': ( $int * $int ) > $int ).

tff(func_def_73,type,
    store2: ( $int * $int * $int * $int ) > $int ).

tff(func_def_74,type,
    'FieldDependsOnFCO': ( $int * $int * $int ) > $int ).

tff(func_def_75,type,
    stack0b_0: $int ).

tff(func_def_76,type,
    'Rank': $int > $int ).

tff(func_def_77,type,
    'ArraySum_Even_System_Int32': ( $int * $int ) > $int ).

tff(func_def_78,type,
    'System_IComparable': $int ).

tff(func_def_79,type,
    'ValueArray': ( $int * $int ) > $int ).

tff(func_def_80,type,
    'IntArraySet': ( $int * $int * $int ) > $int ).

tff(func_def_81,type,
    'AsRepField': ( $int * $int ) > $int ).

tff(func_def_82,type,
    'System_Collections_ICollection': $int ).

tff(func_def_83,type,
    intGreater: ( $int * $int ) > $int ).

tff(func_def_84,type,
    'ElementProxy': ( $int * $int ) > $int ).

tff(func_def_85,type,
    'BoxTester': ( $int * $int ) > $int ).

tff(func_def_86,type,
    'SharingMode_Unshared': $int ).

tff(func_def_87,type,
    'System_UInt16': $int ).

tff(func_def_88,type,
    'ClassReprInv': $int > $int ).

tff(func_def_89,type,
    int_4294967295: $int ).

tff(func_def_90,type,
    'ClassRepr': $int > $int ).

tff(func_def_91,type,
    'NonNullFieldsAreInitialized': $int ).

tff(func_def_92,type,
    'AsInterface': $int > $int ).

tff(func_def_93,type,
    boolOr: ( $int * $int ) > $int ).

tff(func_def_94,type,
    'PeerGroupPlaceholder': $int ).

tff(func_def_95,type,
    'IsNotNull': ( $int * $int ) > $int ).

tff(func_def_96,type,
    'ArrayCategoryValue': $int ).

tff(func_def_97,type,
    'ElementType': $int > $int ).

tff(func_def_98,type,
    'System_SByte': $int ).

tff(func_def_99,type,
    'BeingConstructed': $int ).

tff(func_def_100,type,
    true_1: $int ).

tff(func_def_101,type,
    int_2147483647: $int ).

tff(func_def_102,type,
    'System_IComparable_1___System_String': $int ).

tff(func_def_103,type,
    'System_String_Equals_System_String': ( $int * $int * $int ) > $int ).

tff(func_def_104,type,
    'OneClassDown': ( $int * $int ) > $int ).

tff(func_def_105,type,
    'StringLength': $int > $int ).

tff(func_def_106,type,
    'AsImmutable': $int > $int ).

tff(func_def_107,type,
    'System_Collections_Generic_IEnumerable_1___System_Char': $int ).

tff(func_def_108,type,
    'IntToInt': ( $int * $int * $int ) > $int ).

tff(func_def_109,type,
    'PurityAxiomsCanBeAssumed': $int ).

tff(func_def_110,type,
    'System_Char': $int ).

tff(func_def_111,type,
    boolIff: ( $int * $int ) > $int ).

tff(func_def_112,type,
    intAtMost: ( $int * $int ) > $int ).

tff(func_def_113,type,
    elements: $int ).

tff(func_def_114,type,
    'IsValueType': $int > $int ).

tff(func_def_115,type,
    'System_Collections_IList': $int ).

tff(func_def_116,type,
    'System_UIntPtr': $int ).

tff(func_def_117,type,
    'System_UInt32': $int ).

tff(func_def_118,type,
    'IsImmutable': $int > $int ).

tff(func_def_119,type,
    'AsElementsRepField': ( $int * $int * $int ) > $int ).

tff(func_def_120,type,
    inv: $int ).

tff(func_def_121,type,
    sum_0: ( $int * $int * $int * $int * $int * $int * $int ) > $int ).

tff(func_def_122,type,
    'FirstConsistentOwner': $int ).

tff(func_def_123,type,
    'NonNullRefArrayRaw': ( $int * $int * $int ) > $int ).

tff(func_def_124,type,
    'BoxFunc': ( $int * $int * $int * $int ) > $int ).

tff(func_def_125,type,
    'AsMutable': $int > $int ).

tff(func_def_126,type,
    x: ( $int * $int ) > $int ).

tff(func_def_127,type,
    'System_Byte': $int ).

tff(func_def_128,type,
    'UnboxedType': $int > $int ).

tff(func_def_129,type,
    'IncludedInModifiesStar': $int > $int ).

tff(func_def_130,type,
    'StructSet': ( $int * $int * $int ) > $int ).

tff(func_def_131,type,
    'System_Type': $int ).

tff(func_def_132,type,
    ownerFrame: $int ).

tff(func_def_133,type,
    stack0i_0: $int ).

tff(func_def_134,type,
    'System_IEquatable_1___System_String': $int ).

tff(func_def_135,type,
    x_in: $int ).

tff(func_def_136,type,
    max: ( $int * $int ) > $int ).

tff(func_def_137,type,
    shr: ( $int * $int ) > $int ).

tff(func_def_138,type,
    'DimLength': ( $int * $int ) > $int ).

tff(func_def_139,type,
    'RefArrayGet': ( $int * $int ) > $int ).

tff(func_def_140,type,
    x_1: ( $int * $int ) > $int ).

tff(func_def_141,type,
    'UBound': ( $int * $int ) > $int ).

tff(func_def_142,type,
    exposeVersion: $int ).

tff(func_def_143,type,
    'System_ICloneable': $int ).

tff(func_def_144,type,
    int_9223372036854775807: $int ).

tff(func_def_145,type,
    'Box': ( $int * $int ) > $int ).

tff(func_def_146,type,
    'ArrayIndexInvX': $int > $int ).

tff(func_def_147,type,
    anyNeq: ( $int * $int ) > $int ).

tff(func_def_148,type,
    int_18446744073709551615: $int ).

tff(func_def_149,type,
    'IncludeInMainFrameCondition': $int > $int ).

tff(func_def_150,type,
    nullObject: $int ).

tff(func_def_151,type,
    'IsHeap': $int > $int ).

tff(func_def_152,type,
    select2: ( $int * $int * $int ) > $int ).

tff(func_def_153,type,
    'ArrayCategory': $int > $int ).

tff(func_def_154,type,
    'RefArray': ( $int * $int ) > $int ).

tff(func_def_155,type,
    'IsMemberlessType': $int > $int ).

tff(func_def_156,type,
    'BaseClass': $int > $int ).

tff(func_def_157,type,
    'NonNullRefArray': ( $int * $int ) > $int ).

tff(func_def_158,type,
    'System_String': $int ).

tff(func_def_172,type,
    sK6: $int ).

tff(func_def_173,type,
    sK7: $int ).

tff(func_def_174,type,
    sK8: $int ).

tff(func_def_175,type,
    sK9: ( $int * $int * $int ) > $int ).

tff(func_def_176,type,
    sK10: $int > $int ).

tff(func_def_177,type,
    sK11: ( $int * $int ) > $int ).

tff(func_def_178,type,
    sK12: ( $int * $int ) > $int ).

tff(func_def_179,type,
    sK13: ( $int * $int ) > $int ).

tff(func_def_180,type,
    sK14: ( $int * $int ) > $int ).

tff(func_def_181,type,
    sK15: ( $int * $int * $int ) > $int ).

tff(func_def_182,type,
    sK16: ( $int * $int * $int ) > $int ).

tff(func_def_183,type,
    sK17: ( $int * $int * $int ) > $int ).

tff(func_def_184,type,
    sK18: ( $int * $int * $int ) > $int ).

tff(func_def_185,type,
    sK19: ( $int * $int * $int ) > $int ).

tff(func_def_186,type,
    sK20: ( $int * $int * $int ) > $int ).

tff(func_def_187,type,
    sK21: ( $int * $int * $int ) > $int ).

tff(func_def_188,type,
    sK22: ( $int * $int * $int ) > $int ).

tff(func_def_189,type,
    sK23: ( $int * $int * $int ) > $int ).

tff(func_def_190,type,
    sK24: ( $int * $int * $int ) > $int ).

tff(func_def_191,type,
    sK25: ( $int * $int * $int ) > $int ).

tff(func_def_192,type,
    sK26: $int > $int ).

tff(func_def_193,type,
    sK27: ( $int * $int ) > $int ).

tff(func_def_194,type,
    sK28: ( $int * $int * $int ) > $int ).

tff(func_def_195,type,
    sK29: ( $int * $int * $int ) > $int ).

tff(func_def_196,type,
    sK30: ( $int * $int ) > $int ).

tff(func_def_197,type,
    sK31: ( $int * $int * $int * $int ) > $int ).

tff(func_def_198,type,
    sK32: ( $int * $int * $int ) > $int ).

tff(func_def_199,type,
    sK33: ( $int * $int * $int * $int * $int ) > $int ).

tff(func_def_200,type,
    sK34: ( $int * $int * $int * $int * $int ) > $int ).

tff(func_def_201,type,
    sK35: ( $int * $int * $int * $int ) > $int ).

tff(func_def_202,type,
    sK36: ( $int * $int * $int * $int ) > $int ).

tff(func_def_203,type,
    sK37: ( $int * $int ) > $int ).

tff(func_def_204,type,
    sK38: ( $int * $int ) > $int ).

tff(func_def_205,type,
    sK39: ( $int * $int ) > $int ).

tff(func_def_206,type,
    sK40: ( $int * $int * $int ) > $int ).

tff(func_def_207,type,
    sK41: ( $int * $int * $int ) > $int ).

tff(func_def_208,type,
    sK42: ( $int * $int ) > $int ).

tff(func_def_209,type,
    sK43: ( $int * $int ) > $int ).

tff(func_def_210,type,
    sK44: ( $int * $int ) > $int ).

tff(func_def_211,type,
    sK45: ( $int * $int ) > $int ).

tff(func_def_212,type,
    sK46: ( $int * $int ) > $int ).

tff(func_def_213,type,
    sK47: ( $int * $int * $int * $int ) > $int ).

tff(func_def_214,type,
    sK48: ( $int * $int * $int ) > $int ).

tff(func_def_215,type,
    sK49: ( $int * $int * $int ) > $int ).

tff(func_def_216,type,
    sK50: ( $int * $int ) > $int ).

tff(func_def_217,type,
    sK51: ( $int * $int ) > $int ).

tff(func_def_218,type,
    sK52: ( $int * $int ) > $int ).

tff(func_def_219,type,
    sK53: ( $int * $int ) > $int ).

tff(func_def_220,type,
    sK54: ( $int * $int ) > $int ).

tff(func_def_221,type,
    sK55: ( $int * $int ) > $int ).

tff(func_def_222,type,
    sK56: ( $int * $int ) > $int ).

tff(func_def_223,type,
    sK57: ( $int * $int ) > $int ).

tff(func_def_224,type,
    sK58: ( $int * $int ) > $int ).

tff(func_def_225,type,
    sK59: ( $int * $int ) > $int ).

tff(func_def_226,type,
    sK60: ( $int * $int * $int * $int * $int * $int * $int ) > $int ).

tff(func_def_227,type,
    sK61: ( $int * $int * $int * $int * $int * $int * $int * $int * $int * $int * $int * $int ) > $int ).

tff(func_def_228,type,
    sK62: ( $int * $int * $int * $int * $int * $int * $int ) > $int ).

tff(func_def_229,type,
    sK63: $int ).

tff(func_def_230,type,
    sK64: $int ).

tff(func_def_231,type,
    sK65: ( $int * $int ) > $int ).

tff(func_def_232,type,
    sK66: ( $int * $int ) > $int ).

tff(func_def_233,type,
    sK67: ( $int * $int ) > $int ).

tff(func_def_234,type,
    sK68: $int ).

tff(func_def_235,type,
    sK69: $int ).

tff(func_def_236,type,
    sK70: ( $int * $int ) > $int ).

tff(func_def_237,type,
    sK71: ( $int * $int ) > $int ).

tff(func_def_238,type,
    sK72: ( $int * $int ) > $int ).

tff(func_def_239,type,
    sK73: $int ).

tff(pred_def_5,type,
    sP0: $int > $o ).

tff(pred_def_6,type,
    sP1: $int > $o ).

tff(pred_def_7,type,
    sP2: $int > $o ).

tff(pred_def_8,type,
    sP3: $int > $o ).

tff(pred_def_9,type,
    sP4: $int > $o ).

tff(pred_def_10,type,
    sP5: $int > $o ).

tff(f1,axiom,
    ~ ( ~ ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 )
      | ~ ! [X0: $int,X1: $int,X3: $int,X2: $int] :
            ( ( X1 != X3 )
           => ( select1(store1(X0,X1,X2),X3) = select1(X0,X3) ) )
      | ~ ! [X0: $int,X4: $int,X5: $int,X2: $int] : ( select2(store2(X0,X4,X5,X2),X4,X5) = X2 )
      | ~ ! [X0: $int,X4: $int,X5: $int,X6: $int,X7: $int,X2: $int] :
            ( ( X4 != X6 )
           => ( select2(store2(X0,X4,X5,X2),X6,X7) = select2(X0,X6,X7) ) )
      | ~ ! [X0: $int,X4: $int,X5: $int,X6: $int,X7: $int,X2: $int] :
            ( ( X5 != X7 )
           => ( select2(store2(X0,X4,X5,X2),X6,X7) = select2(X0,X6,X7) ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( boolIff(X8,X9) = true_1 )
          <=> ( ( X8 = true_1 )
            <=> ( X9 = true_1 ) ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( boolImplies(X8,X9) = true_1 )
          <=> ( ( X8 = true_1 )
             => ( X9 = true_1 ) ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( boolAnd(X8,X9) = true_1 )
          <=> ~ ( ( X8 != true_1 )
                | ( X9 != true_1 ) ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( boolOr(X8,X9) = true_1 )
          <=> ( ( X8 = true_1 )
              | ( X9 = true_1 ) ) )
      | ~ ! [X8: $int] :
            ( ( boolNot(X8) = true_1 )
          <=> ( X8 != true_1 ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( anyEqual(X8,X9) = true_1 )
          <=> ( X8 = X9 ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( anyNeq(X8,X9) = true_1 )
          <=> ( X8 != X9 ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( intLess(X8,X9) = true_1 )
          <=> $less(X8,X9) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( intAtMost(X8,X9) = true_1 )
          <=> $lesseq(X8,X9) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( intAtLeast(X8,X9) = true_1 )
          <=> $greatereq(X8,X9) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( intGreater(X8,X9) = true_1 )
          <=> $greater(X8,X9) )
      | ( false_1 = true_1 )
      | ~ ! [X10: $int] : ( x(X10,X10) = true_1 )
      | ~ ! [X10: $int,X11: $int,X2: $int] :
            ( ~ ( ( x(X10,X11) != true_1 )
                | ( x(X11,X2) != true_1 ) )
           => ( x(X10,X2) = true_1 ) )
      | ~ ! [X10: $int,X11: $int] :
            ( ~ ( ( x(X10,X11) != true_1 )
                | ( x(X11,X10) != true_1 ) )
           => ( X10 = X11 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1) ).

tff(f3,axiom,
    ? [X0: $int] :
      ( ( X0 = x_1(x_in,2) )
      & ~ ( ( 'IsHeap'('Heap') = true_1 )
         => ( ( 'InRange'(x_in,'System_Int32') = true_1 )
           => ( ( 'InRange'(x_3,'System_Int32') = true_1 )
             => ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
               => ( ( 'BeingConstructed' = nullObject )
                 => ~ ( ( 2 = 0 )
                      | ~ ( ( 2 != 0 )
                         => ( ( stack0i_0 = X0 )
                           => ( ~ ( ~ $lesseq(0,0)
                                  | ~ $lesseq(0,0) )
                             => ~ ( ~ ( ~ ( ~ $lesseq(0,0)
                                          | ~ $lesseq(0,0) )
                                     => ( ( stack0i_0 = 0 )
                                       => ( ~ ( ~ $lesseq(0,stack0i_0)
                                              | ~ $lesseq(stack0i_0,0)
                                              | ~ $lesseq(0,0)
                                              | ~ $lesseq(0,0) )
                                         => ( ~ ( ~ $lesseq(0,stack0i_0)
                                                | ~ $lesseq(stack0i_0,0)
                                                | ~ $lesseq(0,0)
                                                | ~ $lesseq(0,0) )
                                           => ( ~ ( ~ $lesseq(0,stack0i_0)
                                                  | ~ $lesseq(stack0i_0,0)
                                                  | ~ $lesseq(0,0)
                                                  | ~ $lesseq(0,0) )
                                             => ( ( stack0b_0 = true_1 )
                                               => ( ~ ( ~ $lesseq(0,0)
                                                      | ~ $lesseq(0,0) )
                                                 => ( ~ ( ~ $lesseq(0,0)
                                                        | ~ $lesseq(0,0) )
                                                   => ( ~ ( ~ $lesseq(0,0)
                                                          | ~ $lesseq(0,0) )
                                                     => ( ~ ( ~ $lesseq(0,0)
                                                            | ~ $lesseq(0,0) )
                                                       => ~ ( ~ ! [X1: $int,X2: $int] :
                                                                ? [X3: $int,X4: $int,X5: $int] :
                                                                  ( ( X3 = select2('Heap',X1,X2) )
                                                                  & ( X4 = select2('Heap',X1,ownerFrame) )
                                                                  & ( X5 = select2('Heap',X1,ownerRef) )
                                                                  & ( ~ ( ( 'IncludeInMainFrameCondition'(X2) != true_1 )
                                                                        | ( X1 = nullObject )
                                                                        | ( select2('Heap',X1,allocated) != true_1 )
                                                                        | ~ ( ( X4 = 'PeerGroupPlaceholder' )
                                                                            | ( x(select2('Heap',X5,inv),X4) != true_1 )
                                                                            | ( select2('Heap',X5,localinv) = 'BaseClass'(X4) ) ) )
                                                                   => ( X3 = X3 ) ) )
                                                            | ~ ( ! [X1: $int,X2: $int] :
                                                                  ? [X6: $int,X7: $int,X8: $int] :
                                                                    ( ( X6 = select2('Heap',X1,X2) )
                                                                    & ( X7 = select2('Heap',X1,ownerFrame) )
                                                                    & ( X8 = select2('Heap',X1,ownerRef) )
                                                                    & ( ~ ( ( 'IncludeInMainFrameCondition'(X2) != true_1 )
                                                                          | ( X1 = nullObject )
                                                                          | ( select2('Heap',X1,allocated) != true_1 )
                                                                          | ~ ( ( X7 = 'PeerGroupPlaceholder' )
                                                                              | ( x(select2('Heap',X8,inv),X7) != true_1 )
                                                                              | ( select2('Heap',X8,localinv) = 'BaseClass'(X7) ) ) )
                                                                     => ( X6 = X6 ) ) )
                                                               => ~ ( ~ ( ( stack0b_0 = true_1 )
                                                                      <=> ( X0 = 0 ) )
                                                                    | ~ ( ( ( stack0b_0 = true_1 )
                                                                        <=> ( X0 = 0 ) )
                                                                       => $true ) ) ) ) ) ) ) ) ) ) ) ) ) )
                                  | ~ ( ~ ( ~ $lesseq(0,0)
                                          | ~ $lesseq(0,0) )
                                     => ( ( stack0i_0 != 0 )
                                       => ( ~ ( ~ $lesseq(0,0)
                                              | ~ $lesseq(0,0) )
                                         => ( ~ ( ~ $lesseq(0,0)
                                                | ~ $lesseq(0,0) )
                                           => ( ~ ( ~ $lesseq(0,0)
                                                  | ~ $lesseq(0,0) )
                                             => ( ( stack0b_0 = false_1 )
                                               => ( ~ ( ~ $lesseq(0,0)
                                                      | ~ $lesseq(0,0) )
                                                 => ( ~ ( ~ $lesseq(0,0)
                                                        | ~ $lesseq(0,0) )
                                                   => ( ~ ( ~ $lesseq(0,0)
                                                          | ~ $lesseq(0,0) )
                                                     => ( ~ ( ~ $lesseq(0,0)
                                                            | ~ $lesseq(0,0) )
                                                       => ~ ( ~ ! [X1: $int,X2: $int] :
                                                                ? [X9: $int,X10: $int,X11: $int] :
                                                                  ( ( X9 = select2('Heap',X1,X2) )
                                                                  & ( X10 = select2('Heap',X1,ownerFrame) )
                                                                  & ( X11 = select2('Heap',X1,ownerRef) )
                                                                  & ( ~ ( ( 'IncludeInMainFrameCondition'(X2) != true_1 )
                                                                        | ( X1 = nullObject )
                                                                        | ( select2('Heap',X1,allocated) != true_1 )
                                                                        | ~ ( ( X10 = 'PeerGroupPlaceholder' )
                                                                            | ( x(select2('Heap',X11,inv),X10) != true_1 )
                                                                            | ( select2('Heap',X11,localinv) = 'BaseClass'(X10) ) ) )
                                                                   => ( X9 = X9 ) ) )
                                                            | ~ ( ! [X1: $int,X2: $int] :
                                                                  ? [X12: $int,X13: $int,X14: $int] :
                                                                    ( ( X12 = select2('Heap',X1,X2) )
                                                                    & ( X13 = select2('Heap',X1,ownerFrame) )
                                                                    & ( X14 = select2('Heap',X1,ownerRef) )
                                                                    & ( ~ ( ( 'IncludeInMainFrameCondition'(X2) != true_1 )
                                                                          | ( X1 = nullObject )
                                                                          | ( select2('Heap',X1,allocated) != true_1 )
                                                                          | ~ ( ( X13 = 'PeerGroupPlaceholder' )
                                                                              | ( x(select2('Heap',X14,inv),X13) != true_1 )
                                                                              | ( select2('Heap',X14,localinv) = 'BaseClass'(X13) ) ) )
                                                                     => ( X12 = X12 ) ) )
                                                               => ~ ( ~ ( ( stack0b_0 = true_1 )
                                                                      <=> ( X0 = 0 ) )
                                                                    | ~ ( ( ( stack0b_0 = true_1 )
                                                                        <=> ( X0 = 0 ) )
                                                                       => $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3) ).

tff(f4,plain,
    ~ ( ~ ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 )
      | ~ ! [X0: $int,X1: $int,X3: $int,X2: $int] :
            ( ( X1 != X3 )
           => ( select1(store1(X0,X1,X2),X3) = select1(X0,X3) ) )
      | ~ ! [X0: $int,X4: $int,X5: $int,X2: $int] : ( select2(store2(X0,X4,X5,X2),X4,X5) = X2 )
      | ~ ! [X0: $int,X4: $int,X5: $int,X6: $int,X7: $int,X2: $int] :
            ( ( X4 != X6 )
           => ( select2(store2(X0,X4,X5,X2),X6,X7) = select2(X0,X6,X7) ) )
      | ~ ! [X0: $int,X4: $int,X5: $int,X6: $int,X7: $int,X2: $int] :
            ( ( X5 != X7 )
           => ( select2(store2(X0,X4,X5,X2),X6,X7) = select2(X0,X6,X7) ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( boolIff(X8,X9) = true_1 )
          <=> ( ( X8 = true_1 )
            <=> ( X9 = true_1 ) ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( boolImplies(X8,X9) = true_1 )
          <=> ( ( X8 = true_1 )
             => ( X9 = true_1 ) ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( boolAnd(X8,X9) = true_1 )
          <=> ~ ( ( X8 != true_1 )
                | ( X9 != true_1 ) ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( boolOr(X8,X9) = true_1 )
          <=> ( ( X8 = true_1 )
              | ( X9 = true_1 ) ) )
      | ~ ! [X8: $int] :
            ( ( boolNot(X8) = true_1 )
          <=> ( X8 != true_1 ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( anyEqual(X8,X9) = true_1 )
          <=> ( X8 = X9 ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( anyNeq(X8,X9) = true_1 )
          <=> ( X8 != X9 ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( intLess(X8,X9) = true_1 )
          <=> $less(X8,X9) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( intAtMost(X8,X9) = true_1 )
          <=> ~ $less(X9,X8) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( intAtLeast(X8,X9) = true_1 )
          <=> ~ $less(X8,X9) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( intGreater(X8,X9) = true_1 )
          <=> $less(X9,X8) )
      | ( false_1 = true_1 )
      | ~ ! [X10: $int] : ( x(X10,X10) = true_1 )
      | ~ ! [X10: $int,X11: $int,X2: $int] :
            ( ~ ( ( x(X10,X11) != true_1 )
                | ( x(X11,X2) != true_1 ) )
           => ( x(X10,X2) = true_1 ) )
      | ~ ! [X10: $int,X11: $int] :
            ( ~ ( ( x(X10,X11) != true_1 )
                | ( x(X11,X10) != true_1 ) )
           => ( X10 = X11 ) ) ),
    inference(theory_normalization,[],[f1]) ).

tff(f6,plain,
    ? [X0: $int] :
      ( ( X0 = x_1(x_in,2) )
      & ~ ( ( 'IsHeap'('Heap') = true_1 )
         => ( ( 'InRange'(x_in,'System_Int32') = true_1 )
           => ( ( 'InRange'(x_3,'System_Int32') = true_1 )
             => ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
               => ( ( 'BeingConstructed' = nullObject )
                 => ~ ( ( 2 = 0 )
                      | ~ ( ( 2 != 0 )
                         => ( ( stack0i_0 = X0 )
                           => ( ~ ( $less(0,0)
                                  | $less(0,0) )
                             => ~ ( ~ ( ~ ( $less(0,0)
                                          | $less(0,0) )
                                     => ( ( stack0i_0 = 0 )
                                       => ( ~ ( $less(stack0i_0,0)
                                              | $less(0,stack0i_0)
                                              | $less(0,0)
                                              | $less(0,0) )
                                         => ( ~ ( $less(stack0i_0,0)
                                                | $less(0,stack0i_0)
                                                | $less(0,0)
                                                | $less(0,0) )
                                           => ( ~ ( $less(stack0i_0,0)
                                                  | $less(0,stack0i_0)
                                                  | $less(0,0)
                                                  | $less(0,0) )
                                             => ( ( stack0b_0 = true_1 )
                                               => ( ~ ( $less(0,0)
                                                      | $less(0,0) )
                                                 => ( ~ ( $less(0,0)
                                                        | $less(0,0) )
                                                   => ( ~ ( $less(0,0)
                                                          | $less(0,0) )
                                                     => ( ~ ( $less(0,0)
                                                            | $less(0,0) )
                                                       => ~ ( ~ ! [X1: $int,X2: $int] :
                                                                ? [X3: $int,X4: $int,X5: $int] :
                                                                  ( ( X3 = select2('Heap',X1,X2) )
                                                                  & ( X4 = select2('Heap',X1,ownerFrame) )
                                                                  & ( X5 = select2('Heap',X1,ownerRef) )
                                                                  & ( ~ ( ( 'IncludeInMainFrameCondition'(X2) != true_1 )
                                                                        | ( X1 = nullObject )
                                                                        | ( select2('Heap',X1,allocated) != true_1 )
                                                                        | ~ ( ( X4 = 'PeerGroupPlaceholder' )
                                                                            | ( x(select2('Heap',X5,inv),X4) != true_1 )
                                                                            | ( select2('Heap',X5,localinv) = 'BaseClass'(X4) ) ) )
                                                                   => ( X3 = X3 ) ) )
                                                            | ~ ( ! [X1: $int,X2: $int] :
                                                                  ? [X6: $int,X7: $int,X8: $int] :
                                                                    ( ( X6 = select2('Heap',X1,X2) )
                                                                    & ( X7 = select2('Heap',X1,ownerFrame) )
                                                                    & ( X8 = select2('Heap',X1,ownerRef) )
                                                                    & ( ~ ( ( 'IncludeInMainFrameCondition'(X2) != true_1 )
                                                                          | ( X1 = nullObject )
                                                                          | ( select2('Heap',X1,allocated) != true_1 )
                                                                          | ~ ( ( X7 = 'PeerGroupPlaceholder' )
                                                                              | ( x(select2('Heap',X8,inv),X7) != true_1 )
                                                                              | ( select2('Heap',X8,localinv) = 'BaseClass'(X7) ) ) )
                                                                     => ( X6 = X6 ) ) )
                                                               => ~ ( ~ ( ( stack0b_0 = true_1 )
                                                                      <=> ( X0 = 0 ) )
                                                                    | ~ ( ( ( stack0b_0 = true_1 )
                                                                        <=> ( X0 = 0 ) )
                                                                       => $true ) ) ) ) ) ) ) ) ) ) ) ) ) )
                                  | ~ ( ~ ( $less(0,0)
                                          | $less(0,0) )
                                     => ( ( stack0i_0 != 0 )
                                       => ( ~ ( $less(0,0)
                                              | $less(0,0) )
                                         => ( ~ ( $less(0,0)
                                                | $less(0,0) )
                                           => ( ~ ( $less(0,0)
                                                  | $less(0,0) )
                                             => ( ( stack0b_0 = false_1 )
                                               => ( ~ ( $less(0,0)
                                                      | $less(0,0) )
                                                 => ( ~ ( $less(0,0)
                                                        | $less(0,0) )
                                                   => ( ~ ( $less(0,0)
                                                          | $less(0,0) )
                                                     => ( ~ ( $less(0,0)
                                                            | $less(0,0) )
                                                       => ~ ( ~ ! [X1: $int,X2: $int] :
                                                                ? [X9: $int,X10: $int,X11: $int] :
                                                                  ( ( X9 = select2('Heap',X1,X2) )
                                                                  & ( X10 = select2('Heap',X1,ownerFrame) )
                                                                  & ( X11 = select2('Heap',X1,ownerRef) )
                                                                  & ( ~ ( ( 'IncludeInMainFrameCondition'(X2) != true_1 )
                                                                        | ( X1 = nullObject )
                                                                        | ( select2('Heap',X1,allocated) != true_1 )
                                                                        | ~ ( ( X10 = 'PeerGroupPlaceholder' )
                                                                            | ( x(select2('Heap',X11,inv),X10) != true_1 )
                                                                            | ( select2('Heap',X11,localinv) = 'BaseClass'(X10) ) ) )
                                                                   => ( X9 = X9 ) ) )
                                                            | ~ ( ! [X1: $int,X2: $int] :
                                                                  ? [X12: $int,X13: $int,X14: $int] :
                                                                    ( ( X12 = select2('Heap',X1,X2) )
                                                                    & ( X13 = select2('Heap',X1,ownerFrame) )
                                                                    & ( X14 = select2('Heap',X1,ownerRef) )
                                                                    & ( ~ ( ( 'IncludeInMainFrameCondition'(X2) != true_1 )
                                                                          | ( X1 = nullObject )
                                                                          | ( select2('Heap',X1,allocated) != true_1 )
                                                                          | ~ ( ( X13 = 'PeerGroupPlaceholder' )
                                                                              | ( x(select2('Heap',X14,inv),X13) != true_1 )
                                                                              | ( select2('Heap',X14,localinv) = 'BaseClass'(X13) ) ) )
                                                                     => ( X12 = X12 ) ) )
                                                               => ~ ( ~ ( ( stack0b_0 = true_1 )
                                                                      <=> ( X0 = 0 ) )
                                                                    | ~ ( ( ( stack0b_0 = true_1 )
                                                                        <=> ( X0 = 0 ) )
                                                                       => $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(theory_normalization,[],[f3]) ).

tff(f25,plain,
    ~ ( ~ ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 )
      | ~ ! [X3: $int,X4: $int,X5: $int,X6: $int] :
            ( ( X4 != X5 )
           => ( select1(store1(X3,X4,X6),X5) = select1(X3,X5) ) )
      | ~ ! [X7: $int,X8: $int,X9: $int,X10: $int] : ( select2(store2(X7,X8,X9,X10),X8,X9) = X10 )
      | ~ ! [X11: $int,X12: $int,X13: $int,X14: $int,X15: $int,X16: $int] :
            ( ( X12 != X14 )
           => ( select2(store2(X11,X12,X13,X16),X14,X15) = select2(X11,X14,X15) ) )
      | ~ ! [X17: $int,X18: $int,X19: $int,X20: $int,X21: $int,X22: $int] :
            ( ( X19 != X21 )
           => ( select2(store2(X17,X18,X19,X22),X20,X21) = select2(X17,X20,X21) ) )
      | ~ ! [X23: $int,X24: $int] :
            ( ( true_1 = boolIff(X23,X24) )
          <=> ( ( true_1 = X23 )
            <=> ( true_1 = X24 ) ) )
      | ~ ! [X25: $int,X26: $int] :
            ( ( true_1 = boolImplies(X25,X26) )
          <=> ( ( true_1 = X25 )
             => ( true_1 = X26 ) ) )
      | ~ ! [X27: $int,X28: $int] :
            ( ( true_1 = boolAnd(X27,X28) )
          <=> ~ ( ( true_1 != X27 )
                | ( true_1 != X28 ) ) )
      | ~ ! [X29: $int,X30: $int] :
            ( ( true_1 = boolOr(X29,X30) )
          <=> ( ( true_1 = X29 )
              | ( true_1 = X30 ) ) )
      | ~ ! [X31: $int] :
            ( ( true_1 = boolNot(X31) )
          <=> ( true_1 != X31 ) )
      | ~ ! [X32: $int,X33: $int] :
            ( ( true_1 = anyEqual(X32,X33) )
          <=> ( X32 = X33 ) )
      | ~ ! [X34: $int,X35: $int] :
            ( ( true_1 = anyNeq(X34,X35) )
          <=> ( X34 != X35 ) )
      | ~ ! [X36: $int,X37: $int] :
            ( ( true_1 = intLess(X36,X37) )
          <=> $less(X36,X37) )
      | ~ ! [X38: $int,X39: $int] :
            ( ( true_1 = intAtMost(X38,X39) )
          <=> ~ $less(X39,X38) )
      | ~ ! [X40: $int,X41: $int] :
            ( ( true_1 = intAtLeast(X40,X41) )
          <=> ~ $less(X40,X41) )
      | ~ ! [X42: $int,X43: $int] :
            ( ( true_1 = intGreater(X42,X43) )
          <=> $less(X43,X42) )
      | ( false_1 = true_1 )
      | ~ ! [X44: $int] : ( true_1 = x(X44,X44) )
      | ~ ! [X45: $int,X46: $int,X47: $int] :
            ( ~ ( ( true_1 != x(X45,X46) )
                | ( true_1 != x(X46,X47) ) )
           => ( true_1 = x(X45,X47) ) )
      | ~ ! [X48: $int,X49: $int] :
            ( ~ ( ( true_1 != x(X48,X49) )
                | ( true_1 != x(X49,X48) ) )
           => ( X48 = X49 ) ) ),
    inference(rectify,[],[f4]) ).

tff(f29,plain,
    ? [X0: $int] :
      ( ( X0 = x_1(x_in,2) )
      & ~ ( ( 'IsHeap'('Heap') = true_1 )
         => ( ( 'InRange'(x_in,'System_Int32') = true_1 )
           => ( ( 'InRange'(x_3,'System_Int32') = true_1 )
             => ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
               => ( ( 'BeingConstructed' = nullObject )
                 => ~ ( ( 2 = 0 )
                      | ~ ( ( 2 != 0 )
                         => ( ( stack0i_0 = X0 )
                           => ( ~ ( $less(0,0)
                                  | $less(0,0) )
                             => ~ ( ~ ( ~ ( $less(0,0)
                                          | $less(0,0) )
                                     => ( ( stack0i_0 = 0 )
                                       => ( ~ ( $less(stack0i_0,0)
                                              | $less(0,stack0i_0)
                                              | $less(0,0)
                                              | $less(0,0) )
                                         => ( ~ ( $less(stack0i_0,0)
                                                | $less(0,stack0i_0)
                                                | $less(0,0)
                                                | $less(0,0) )
                                           => ( ~ ( $less(stack0i_0,0)
                                                  | $less(0,stack0i_0)
                                                  | $less(0,0)
                                                  | $less(0,0) )
                                             => ( ( stack0b_0 = true_1 )
                                               => ( ~ ( $less(0,0)
                                                      | $less(0,0) )
                                                 => ( ~ ( $less(0,0)
                                                        | $less(0,0) )
                                                   => ( ~ ( $less(0,0)
                                                          | $less(0,0) )
                                                     => ( ~ ( $less(0,0)
                                                            | $less(0,0) )
                                                       => ~ ( ~ ! [X1: $int,X2: $int] :
                                                                ? [X3: $int,X4: $int,X5: $int] :
                                                                  ( ( X3 = select2('Heap',X1,X2) )
                                                                  & ( X4 = select2('Heap',X1,ownerFrame) )
                                                                  & ( X5 = select2('Heap',X1,ownerRef) )
                                                                  & ( ~ ( ( 'IncludeInMainFrameCondition'(X2) != true_1 )
                                                                        | ( X1 = nullObject )
                                                                        | ( select2('Heap',X1,allocated) != true_1 )
                                                                        | ~ ( ( X4 = 'PeerGroupPlaceholder' )
                                                                            | ( x(select2('Heap',X5,inv),X4) != true_1 )
                                                                            | ( select2('Heap',X5,localinv) = 'BaseClass'(X4) ) ) )
                                                                   => ( X3 = X3 ) ) )
                                                            | ~ ( ! [X6: $int,X7: $int] :
                                                                  ? [X8: $int,X9: $int,X10: $int] :
                                                                    ( ( select2('Heap',X6,X7) = X8 )
                                                                    & ( select2('Heap',X6,ownerFrame) = X9 )
                                                                    & ( select2('Heap',X6,ownerRef) = X10 )
                                                                    & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X7) )
                                                                          | ( nullObject = X6 )
                                                                          | ( true_1 != select2('Heap',X6,allocated) )
                                                                          | ~ ( ( 'PeerGroupPlaceholder' = X9 )
                                                                              | ( true_1 != x(select2('Heap',X10,inv),X9) )
                                                                              | ( select2('Heap',X10,localinv) = 'BaseClass'(X9) ) ) )
                                                                     => ( X8 = X8 ) ) )
                                                               => ~ ( ~ ( ( stack0b_0 = true_1 )
                                                                      <=> ( X0 = 0 ) )
                                                                    | ~ ( ( ( stack0b_0 = true_1 )
                                                                        <=> ( X0 = 0 ) )
                                                                       => $true ) ) ) ) ) ) ) ) ) ) ) ) ) )
                                  | ~ ( ~ ( $less(0,0)
                                          | $less(0,0) )
                                     => ( ( stack0i_0 != 0 )
                                       => ( ~ ( $less(0,0)
                                              | $less(0,0) )
                                         => ( ~ ( $less(0,0)
                                                | $less(0,0) )
                                           => ( ~ ( $less(0,0)
                                                  | $less(0,0) )
                                             => ( ( stack0b_0 = false_1 )
                                               => ( ~ ( $less(0,0)
                                                      | $less(0,0) )
                                                 => ( ~ ( $less(0,0)
                                                        | $less(0,0) )
                                                   => ( ~ ( $less(0,0)
                                                          | $less(0,0) )
                                                     => ( ~ ( $less(0,0)
                                                            | $less(0,0) )
                                                       => ~ ( ~ ! [X11: $int,X12: $int] :
                                                                ? [X13: $int,X14: $int,X15: $int] :
                                                                  ( ( select2('Heap',X11,X12) = X13 )
                                                                  & ( select2('Heap',X11,ownerFrame) = X14 )
                                                                  & ( select2('Heap',X11,ownerRef) = X15 )
                                                                  & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X12) )
                                                                        | ( nullObject = X11 )
                                                                        | ( true_1 != select2('Heap',X11,allocated) )
                                                                        | ~ ( ( 'PeerGroupPlaceholder' = X14 )
                                                                            | ( true_1 != x(select2('Heap',X15,inv),X14) )
                                                                            | ( select2('Heap',X15,localinv) = 'BaseClass'(X14) ) ) )
                                                                   => ( X13 = X13 ) ) )
                                                            | ~ ( ! [X16: $int,X17: $int] :
                                                                  ? [X18: $int,X19: $int,X20: $int] :
                                                                    ( ( select2('Heap',X16,X17) = X18 )
                                                                    & ( select2('Heap',X16,ownerFrame) = X19 )
                                                                    & ( select2('Heap',X16,ownerRef) = X20 )
                                                                    & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X17) )
                                                                          | ( nullObject = X16 )
                                                                          | ( true_1 != select2('Heap',X16,allocated) )
                                                                          | ~ ( ( 'PeerGroupPlaceholder' = X19 )
                                                                              | ( true_1 != x(select2('Heap',X20,inv),X19) )
                                                                              | ( select2('Heap',X20,localinv) = 'BaseClass'(X19) ) ) )
                                                                     => ( X18 = X18 ) ) )
                                                               => ~ ( ~ ( ( stack0b_0 = true_1 )
                                                                      <=> ( X0 = 0 ) )
                                                                    | ~ ( ( ( stack0b_0 = true_1 )
                                                                        <=> ( X0 = 0 ) )
                                                                       => $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f6]) ).

tff(f30,plain,
    ? [X0: $int] :
      ( ( X0 = x_1(x_in,2) )
      & ~ ( ( 'IsHeap'('Heap') = true_1 )
         => ( ( 'InRange'(x_in,'System_Int32') = true_1 )
           => ( ( 'InRange'(x_3,'System_Int32') = true_1 )
             => ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
               => ( ( 'BeingConstructed' = nullObject )
                 => ~ ( ( 2 = 0 )
                      | ~ ( ( 2 != 0 )
                         => ( ( stack0i_0 = X0 )
                           => ( ~ ( $less(0,0)
                                  | $less(0,0) )
                             => ~ ( ~ ( ~ ( $less(0,0)
                                          | $less(0,0) )
                                     => ( ( stack0i_0 = 0 )
                                       => ( ~ ( $less(stack0i_0,0)
                                              | $less(0,stack0i_0)
                                              | $less(0,0)
                                              | $less(0,0) )
                                         => ( ~ ( $less(stack0i_0,0)
                                                | $less(0,stack0i_0)
                                                | $less(0,0)
                                                | $less(0,0) )
                                           => ( ~ ( $less(stack0i_0,0)
                                                  | $less(0,stack0i_0)
                                                  | $less(0,0)
                                                  | $less(0,0) )
                                             => ( ( stack0b_0 = true_1 )
                                               => ( ~ ( $less(0,0)
                                                      | $less(0,0) )
                                                 => ( ~ ( $less(0,0)
                                                        | $less(0,0) )
                                                   => ( ~ ( $less(0,0)
                                                          | $less(0,0) )
                                                     => ( ~ ( $less(0,0)
                                                            | $less(0,0) )
                                                       => ~ ( ~ ! [X1: $int,X2: $int] :
                                                                ? [X3: $int,X4: $int,X5: $int] :
                                                                  ( ( X3 = select2('Heap',X1,X2) )
                                                                  & ( X4 = select2('Heap',X1,ownerFrame) )
                                                                  & ( X5 = select2('Heap',X1,ownerRef) )
                                                                  & ( ~ ( ( 'IncludeInMainFrameCondition'(X2) != true_1 )
                                                                        | ( X1 = nullObject )
                                                                        | ( select2('Heap',X1,allocated) != true_1 )
                                                                        | ~ ( ( X4 = 'PeerGroupPlaceholder' )
                                                                            | ( x(select2('Heap',X5,inv),X4) != true_1 )
                                                                            | ( select2('Heap',X5,localinv) = 'BaseClass'(X4) ) ) )
                                                                   => ( X3 = X3 ) ) )
                                                            | ~ ( ! [X6: $int,X7: $int] :
                                                                  ? [X8: $int,X9: $int,X10: $int] :
                                                                    ( ( select2('Heap',X6,X7) = X8 )
                                                                    & ( select2('Heap',X6,ownerFrame) = X9 )
                                                                    & ( select2('Heap',X6,ownerRef) = X10 )
                                                                    & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X7) )
                                                                          | ( nullObject = X6 )
                                                                          | ( true_1 != select2('Heap',X6,allocated) )
                                                                          | ~ ( ( 'PeerGroupPlaceholder' = X9 )
                                                                              | ( true_1 != x(select2('Heap',X10,inv),X9) )
                                                                              | ( select2('Heap',X10,localinv) = 'BaseClass'(X9) ) ) )
                                                                     => ( X8 = X8 ) ) )
                                                               => ~ ~ ( ( stack0b_0 = true_1 )
                                                                    <=> ( X0 = 0 ) ) ) ) ) ) ) ) ) ) ) ) ) )
                                  | ~ ( ~ ( $less(0,0)
                                          | $less(0,0) )
                                     => ( ( stack0i_0 != 0 )
                                       => ( ~ ( $less(0,0)
                                              | $less(0,0) )
                                         => ( ~ ( $less(0,0)
                                                | $less(0,0) )
                                           => ( ~ ( $less(0,0)
                                                  | $less(0,0) )
                                             => ( ( stack0b_0 = false_1 )
                                               => ( ~ ( $less(0,0)
                                                      | $less(0,0) )
                                                 => ( ~ ( $less(0,0)
                                                        | $less(0,0) )
                                                   => ( ~ ( $less(0,0)
                                                          | $less(0,0) )
                                                     => ( ~ ( $less(0,0)
                                                            | $less(0,0) )
                                                       => ~ ( ~ ! [X11: $int,X12: $int] :
                                                                ? [X13: $int,X14: $int,X15: $int] :
                                                                  ( ( select2('Heap',X11,X12) = X13 )
                                                                  & ( select2('Heap',X11,ownerFrame) = X14 )
                                                                  & ( select2('Heap',X11,ownerRef) = X15 )
                                                                  & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X12) )
                                                                        | ( nullObject = X11 )
                                                                        | ( true_1 != select2('Heap',X11,allocated) )
                                                                        | ~ ( ( 'PeerGroupPlaceholder' = X14 )
                                                                            | ( true_1 != x(select2('Heap',X15,inv),X14) )
                                                                            | ( select2('Heap',X15,localinv) = 'BaseClass'(X14) ) ) )
                                                                   => ( X13 = X13 ) ) )
                                                            | ~ ( ! [X16: $int,X17: $int] :
                                                                  ? [X18: $int,X19: $int,X20: $int] :
                                                                    ( ( select2('Heap',X16,X17) = X18 )
                                                                    & ( select2('Heap',X16,ownerFrame) = X19 )
                                                                    & ( select2('Heap',X16,ownerRef) = X20 )
                                                                    & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X17) )
                                                                          | ( nullObject = X16 )
                                                                          | ( true_1 != select2('Heap',X16,allocated) )
                                                                          | ~ ( ( 'PeerGroupPlaceholder' = X19 )
                                                                              | ( true_1 != x(select2('Heap',X20,inv),X19) )
                                                                              | ( select2('Heap',X20,localinv) = 'BaseClass'(X19) ) ) )
                                                                     => ( X18 = X18 ) ) )
                                                               => ~ ~ ( ( stack0b_0 = true_1 )
                                                                    <=> ( X0 = 0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(true_and_false_elimination,[],[f29]) ).

tff(f31,plain,
    ? [X0: $int] :
      ( ( X0 = x_1(x_in,2) )
      & ~ ( ( 'IsHeap'('Heap') = true_1 )
         => ( ( 'InRange'(x_in,'System_Int32') = true_1 )
           => ( ( 'InRange'(x_3,'System_Int32') = true_1 )
             => ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
               => ( ( 'BeingConstructed' = nullObject )
                 => ~ ( ( 2 = 0 )
                      | ~ ( ( 2 != 0 )
                         => ( ( stack0i_0 = X0 )
                           => ( ~ ( $less(0,0)
                                  | $less(0,0) )
                             => ~ ( ~ ( ~ ( $less(0,0)
                                          | $less(0,0) )
                                     => ( ( stack0i_0 = 0 )
                                       => ( ~ ( $less(stack0i_0,0)
                                              | $less(0,stack0i_0)
                                              | $less(0,0)
                                              | $less(0,0) )
                                         => ( ~ ( $less(stack0i_0,0)
                                                | $less(0,stack0i_0)
                                                | $less(0,0)
                                                | $less(0,0) )
                                           => ( ~ ( $less(stack0i_0,0)
                                                  | $less(0,stack0i_0)
                                                  | $less(0,0)
                                                  | $less(0,0) )
                                             => ( ( stack0b_0 = true_1 )
                                               => ( ~ ( $less(0,0)
                                                      | $less(0,0) )
                                                 => ( ~ ( $less(0,0)
                                                        | $less(0,0) )
                                                   => ( ~ ( $less(0,0)
                                                          | $less(0,0) )
                                                     => ( ~ ( $less(0,0)
                                                            | $less(0,0) )
                                                       => ~ ( ~ ! [X1: $int,X2: $int] :
                                                                ? [X3: $int,X4: $int,X5: $int] :
                                                                  ( ( X3 = select2('Heap',X1,X2) )
                                                                  & ( X4 = select2('Heap',X1,ownerFrame) )
                                                                  & ( X5 = select2('Heap',X1,ownerRef) )
                                                                  & ( ~ ( ( 'IncludeInMainFrameCondition'(X2) != true_1 )
                                                                        | ( X1 = nullObject )
                                                                        | ( select2('Heap',X1,allocated) != true_1 )
                                                                        | ~ ( ( X4 = 'PeerGroupPlaceholder' )
                                                                            | ( x(select2('Heap',X5,inv),X4) != true_1 )
                                                                            | ( select2('Heap',X5,localinv) = 'BaseClass'(X4) ) ) )
                                                                   => ( X3 = X3 ) ) )
                                                            | ~ ( ! [X6: $int,X7: $int] :
                                                                  ? [X8: $int,X9: $int,X10: $int] :
                                                                    ( ( select2('Heap',X6,X7) = X8 )
                                                                    & ( select2('Heap',X6,ownerFrame) = X9 )
                                                                    & ( select2('Heap',X6,ownerRef) = X10 )
                                                                    & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X7) )
                                                                          | ( nullObject = X6 )
                                                                          | ( true_1 != select2('Heap',X6,allocated) )
                                                                          | ~ ( ( 'PeerGroupPlaceholder' = X9 )
                                                                              | ( true_1 != x(select2('Heap',X10,inv),X9) )
                                                                              | ( select2('Heap',X10,localinv) = 'BaseClass'(X9) ) ) )
                                                                     => ( X8 = X8 ) ) )
                                                               => ( ( stack0b_0 = true_1 )
                                                                <=> ( X0 = 0 ) ) ) ) ) ) ) ) ) ) ) ) ) )
                                  | ~ ( ~ ( $less(0,0)
                                          | $less(0,0) )
                                     => ( ( stack0i_0 != 0 )
                                       => ( ~ ( $less(0,0)
                                              | $less(0,0) )
                                         => ( ~ ( $less(0,0)
                                                | $less(0,0) )
                                           => ( ~ ( $less(0,0)
                                                  | $less(0,0) )
                                             => ( ( stack0b_0 = false_1 )
                                               => ( ~ ( $less(0,0)
                                                      | $less(0,0) )
                                                 => ( ~ ( $less(0,0)
                                                        | $less(0,0) )
                                                   => ( ~ ( $less(0,0)
                                                          | $less(0,0) )
                                                     => ( ~ ( $less(0,0)
                                                            | $less(0,0) )
                                                       => ~ ( ~ ! [X11: $int,X12: $int] :
                                                                ? [X13: $int,X14: $int,X15: $int] :
                                                                  ( ( select2('Heap',X11,X12) = X13 )
                                                                  & ( select2('Heap',X11,ownerFrame) = X14 )
                                                                  & ( select2('Heap',X11,ownerRef) = X15 )
                                                                  & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X12) )
                                                                        | ( nullObject = X11 )
                                                                        | ( true_1 != select2('Heap',X11,allocated) )
                                                                        | ~ ( ( 'PeerGroupPlaceholder' = X14 )
                                                                            | ( true_1 != x(select2('Heap',X15,inv),X14) )
                                                                            | ( select2('Heap',X15,localinv) = 'BaseClass'(X14) ) ) )
                                                                   => ( X13 = X13 ) ) )
                                                            | ~ ( ! [X16: $int,X17: $int] :
                                                                  ? [X18: $int,X19: $int,X20: $int] :
                                                                    ( ( select2('Heap',X16,X17) = X18 )
                                                                    & ( select2('Heap',X16,ownerFrame) = X19 )
                                                                    & ( select2('Heap',X16,ownerRef) = X20 )
                                                                    & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X17) )
                                                                          | ( nullObject = X16 )
                                                                          | ( true_1 != select2('Heap',X16,allocated) )
                                                                          | ~ ( ( 'PeerGroupPlaceholder' = X19 )
                                                                              | ( true_1 != x(select2('Heap',X20,inv),X19) )
                                                                              | ( select2('Heap',X20,localinv) = 'BaseClass'(X19) ) ) )
                                                                     => ( X18 = X18 ) ) )
                                                               => ( ( stack0b_0 = true_1 )
                                                                <=> ( X0 = 0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(flattening,[],[f30]) ).

tff(f32,plain,
    ( ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 )
    & ! [X3: $int,X4: $int,X5: $int,X6: $int] :
        ( ( select1(store1(X3,X4,X6),X5) = select1(X3,X5) )
        | ( X4 = X5 ) )
    & ! [X7: $int,X8: $int,X9: $int,X10: $int] : ( select2(store2(X7,X8,X9,X10),X8,X9) = X10 )
    & ! [X11: $int,X12: $int,X13: $int,X14: $int,X15: $int,X16: $int] :
        ( ( select2(store2(X11,X12,X13,X16),X14,X15) = select2(X11,X14,X15) )
        | ( X12 = X14 ) )
    & ! [X17: $int,X18: $int,X19: $int,X20: $int,X21: $int,X22: $int] :
        ( ( select2(store2(X17,X18,X19,X22),X20,X21) = select2(X17,X20,X21) )
        | ( X19 = X21 ) )
    & ! [X23: $int,X24: $int] :
        ( ( true_1 = boolIff(X23,X24) )
      <=> ( ( true_1 = X23 )
        <=> ( true_1 = X24 ) ) )
    & ! [X25: $int,X26: $int] :
        ( ( true_1 = boolImplies(X25,X26) )
      <=> ( ( true_1 = X26 )
          | ( true_1 != X25 ) ) )
    & ! [X27: $int,X28: $int] :
        ( ( true_1 = boolAnd(X27,X28) )
      <=> ( ( true_1 = X27 )
          & ( true_1 = X28 ) ) )
    & ! [X29: $int,X30: $int] :
        ( ( true_1 = boolOr(X29,X30) )
      <=> ( ( true_1 = X29 )
          | ( true_1 = X30 ) ) )
    & ! [X31: $int] :
        ( ( true_1 = boolNot(X31) )
      <=> ( true_1 != X31 ) )
    & ! [X32: $int,X33: $int] :
        ( ( true_1 = anyEqual(X32,X33) )
      <=> ( X32 = X33 ) )
    & ! [X34: $int,X35: $int] :
        ( ( true_1 = anyNeq(X34,X35) )
      <=> ( X34 != X35 ) )
    & ! [X36: $int,X37: $int] :
        ( ( true_1 = intLess(X36,X37) )
      <=> $less(X36,X37) )
    & ! [X38: $int,X39: $int] :
        ( ( true_1 = intAtMost(X38,X39) )
      <=> ~ $less(X39,X38) )
    & ! [X40: $int,X41: $int] :
        ( ( true_1 = intAtLeast(X40,X41) )
      <=> ~ $less(X40,X41) )
    & ! [X42: $int,X43: $int] :
        ( ( true_1 = intGreater(X42,X43) )
      <=> $less(X43,X42) )
    & ( true_1 != false_1 )
    & ! [X44: $int] : ( true_1 = x(X44,X44) )
    & ! [X45: $int,X46: $int,X47: $int] :
        ( ( true_1 = x(X45,X47) )
        | ( true_1 != x(X45,X46) )
        | ( true_1 != x(X46,X47) ) )
    & ! [X48: $int,X49: $int] :
        ( ( X48 = X49 )
        | ( true_1 != x(X48,X49) )
        | ( true_1 != x(X49,X48) ) ) ),
    inference(ennf_transformation,[],[f25]) ).

tff(f33,plain,
    ( ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 )
    & ! [X3: $int,X4: $int,X5: $int,X6: $int] :
        ( ( select1(store1(X3,X4,X6),X5) = select1(X3,X5) )
        | ( X4 = X5 ) )
    & ! [X7: $int,X8: $int,X9: $int,X10: $int] : ( select2(store2(X7,X8,X9,X10),X8,X9) = X10 )
    & ! [X11: $int,X12: $int,X13: $int,X14: $int,X15: $int,X16: $int] :
        ( ( select2(store2(X11,X12,X13,X16),X14,X15) = select2(X11,X14,X15) )
        | ( X12 = X14 ) )
    & ! [X17: $int,X18: $int,X19: $int,X20: $int,X21: $int,X22: $int] :
        ( ( select2(store2(X17,X18,X19,X22),X20,X21) = select2(X17,X20,X21) )
        | ( X19 = X21 ) )
    & ! [X23: $int,X24: $int] :
        ( ( true_1 = boolIff(X23,X24) )
      <=> ( ( true_1 = X23 )
        <=> ( true_1 = X24 ) ) )
    & ! [X25: $int,X26: $int] :
        ( ( true_1 = boolImplies(X25,X26) )
      <=> ( ( true_1 = X26 )
          | ( true_1 != X25 ) ) )
    & ! [X27: $int,X28: $int] :
        ( ( true_1 = boolAnd(X27,X28) )
      <=> ( ( true_1 = X27 )
          & ( true_1 = X28 ) ) )
    & ! [X29: $int,X30: $int] :
        ( ( true_1 = boolOr(X29,X30) )
      <=> ( ( true_1 = X29 )
          | ( true_1 = X30 ) ) )
    & ! [X31: $int] :
        ( ( true_1 = boolNot(X31) )
      <=> ( true_1 != X31 ) )
    & ! [X32: $int,X33: $int] :
        ( ( true_1 = anyEqual(X32,X33) )
      <=> ( X32 = X33 ) )
    & ! [X34: $int,X35: $int] :
        ( ( true_1 = anyNeq(X34,X35) )
      <=> ( X34 != X35 ) )
    & ! [X36: $int,X37: $int] :
        ( ( true_1 = intLess(X36,X37) )
      <=> $less(X36,X37) )
    & ! [X38: $int,X39: $int] :
        ( ( true_1 = intAtMost(X38,X39) )
      <=> ~ $less(X39,X38) )
    & ! [X40: $int,X41: $int] :
        ( ( true_1 = intAtLeast(X40,X41) )
      <=> ~ $less(X40,X41) )
    & ! [X42: $int,X43: $int] :
        ( ( true_1 = intGreater(X42,X43) )
      <=> $less(X43,X42) )
    & ( true_1 != false_1 )
    & ! [X44: $int] : ( true_1 = x(X44,X44) )
    & ! [X45: $int,X46: $int,X47: $int] :
        ( ( true_1 = x(X45,X47) )
        | ( true_1 != x(X45,X46) )
        | ( true_1 != x(X46,X47) ) )
    & ! [X48: $int,X49: $int] :
        ( ( X48 = X49 )
        | ( true_1 != x(X48,X49) )
        | ( true_1 != x(X49,X48) ) ) ),
    inference(flattening,[],[f32]) ).

tff(f36,plain,
    ? [X0: $int] :
      ( ( X0 = x_1(x_in,2) )
      & ( ( 2 = 0 )
        | ( ( ( ( ? [X1: $int,X2: $int] :
                  ! [X3: $int,X4: $int,X5: $int] :
                    ( ( select2('Heap',X1,X2) != X3 )
                    | ( select2('Heap',X1,ownerFrame) != X4 )
                    | ( select2('Heap',X1,ownerRef) != X5 )
                    | ( ( X3 != X3 )
                      & ( true_1 = 'IncludeInMainFrameCondition'(X2) )
                      & ( nullObject != X1 )
                      & ( true_1 = select2('Heap',X1,allocated) )
                      & ( ( X4 = 'PeerGroupPlaceholder' )
                        | ( x(select2('Heap',X5,inv),X4) != true_1 )
                        | ( select2('Heap',X5,localinv) = 'BaseClass'(X4) ) ) ) )
                | ( ( ( stack0b_0 = true_1 )
                  <~> ( X0 = 0 ) )
                  & ! [X6: $int,X7: $int] :
                    ? [X8: $int,X9: $int,X10: $int] :
                      ( ( select2('Heap',X6,X7) = X8 )
                      & ( select2('Heap',X6,ownerFrame) = X9 )
                      & ( select2('Heap',X6,ownerRef) = X10 )
                      & ( ( X8 = X8 )
                        | ( true_1 != 'IncludeInMainFrameCondition'(X7) )
                        | ( nullObject = X6 )
                        | ( true_1 != select2('Heap',X6,allocated) )
                        | ( ( 'PeerGroupPlaceholder' != X9 )
                          & ( true_1 = x(select2('Heap',X10,inv),X9) )
                          & ( select2('Heap',X10,localinv) != 'BaseClass'(X9) ) ) ) ) ) )
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ( stack0b_0 = true_1 )
              & ~ $less(stack0i_0,0)
              & ~ $less(0,stack0i_0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(stack0i_0,0)
              & ~ $less(0,stack0i_0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(stack0i_0,0)
              & ~ $less(0,stack0i_0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ( stack0i_0 = 0 )
              & ~ $less(0,0)
              & ~ $less(0,0) )
            | ( ( ? [X11: $int,X12: $int] :
                  ! [X13: $int,X14: $int,X15: $int] :
                    ( ( select2('Heap',X11,X12) != X13 )
                    | ( select2('Heap',X11,ownerFrame) != X14 )
                    | ( select2('Heap',X11,ownerRef) != X15 )
                    | ( ( X13 != X13 )
                      & ( true_1 = 'IncludeInMainFrameCondition'(X12) )
                      & ( nullObject != X11 )
                      & ( true_1 = select2('Heap',X11,allocated) )
                      & ( ( 'PeerGroupPlaceholder' = X14 )
                        | ( true_1 != x(select2('Heap',X15,inv),X14) )
                        | ( select2('Heap',X15,localinv) = 'BaseClass'(X14) ) ) ) )
                | ( ( ( stack0b_0 = true_1 )
                  <~> ( X0 = 0 ) )
                  & ! [X16: $int,X17: $int] :
                    ? [X18: $int,X19: $int,X20: $int] :
                      ( ( select2('Heap',X16,X17) = X18 )
                      & ( select2('Heap',X16,ownerFrame) = X19 )
                      & ( select2('Heap',X16,ownerRef) = X20 )
                      & ( ( X18 = X18 )
                        | ( true_1 != 'IncludeInMainFrameCondition'(X17) )
                        | ( nullObject = X16 )
                        | ( true_1 != select2('Heap',X16,allocated) )
                        | ( ( 'PeerGroupPlaceholder' != X19 )
                          & ( true_1 = x(select2('Heap',X20,inv),X19) )
                          & ( select2('Heap',X20,localinv) != 'BaseClass'(X19) ) ) ) ) ) )
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ( stack0b_0 = false_1 )
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ( stack0i_0 != 0 )
              & ~ $less(0,0)
              & ~ $less(0,0) ) )
          & ~ $less(0,0)
          & ~ $less(0,0)
          & ( stack0i_0 = X0 )
          & ( 2 != 0 ) ) )
      & ( 'BeingConstructed' = nullObject )
      & ( 'PurityAxiomsCanBeAssumed' = true_1 )
      & ( 'InRange'(x_3,'System_Int32') = true_1 )
      & ( 'InRange'(x_in,'System_Int32') = true_1 )
      & ( 'IsHeap'('Heap') = true_1 ) ),
    inference(ennf_transformation,[],[f31]) ).

tff(f37,plain,
    ? [X0: $int] :
      ( ( X0 = x_1(x_in,2) )
      & ( ( 2 = 0 )
        | ( ( ( ( ? [X1: $int,X2: $int] :
                  ! [X3: $int,X4: $int,X5: $int] :
                    ( ( select2('Heap',X1,X2) != X3 )
                    | ( select2('Heap',X1,ownerFrame) != X4 )
                    | ( select2('Heap',X1,ownerRef) != X5 )
                    | ( ( X3 != X3 )
                      & ( true_1 = 'IncludeInMainFrameCondition'(X2) )
                      & ( nullObject != X1 )
                      & ( true_1 = select2('Heap',X1,allocated) )
                      & ( ( X4 = 'PeerGroupPlaceholder' )
                        | ( x(select2('Heap',X5,inv),X4) != true_1 )
                        | ( select2('Heap',X5,localinv) = 'BaseClass'(X4) ) ) ) )
                | ( ( ( stack0b_0 = true_1 )
                  <~> ( X0 = 0 ) )
                  & ! [X6: $int,X7: $int] :
                    ? [X8: $int,X9: $int,X10: $int] :
                      ( ( select2('Heap',X6,X7) = X8 )
                      & ( select2('Heap',X6,ownerFrame) = X9 )
                      & ( select2('Heap',X6,ownerRef) = X10 )
                      & ( ( X8 = X8 )
                        | ( true_1 != 'IncludeInMainFrameCondition'(X7) )
                        | ( nullObject = X6 )
                        | ( true_1 != select2('Heap',X6,allocated) )
                        | ( ( 'PeerGroupPlaceholder' != X9 )
                          & ( true_1 = x(select2('Heap',X10,inv),X9) )
                          & ( select2('Heap',X10,localinv) != 'BaseClass'(X9) ) ) ) ) ) )
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ( stack0b_0 = true_1 )
              & ~ $less(stack0i_0,0)
              & ~ $less(0,stack0i_0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(stack0i_0,0)
              & ~ $less(0,stack0i_0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(stack0i_0,0)
              & ~ $less(0,stack0i_0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ( stack0i_0 = 0 )
              & ~ $less(0,0)
              & ~ $less(0,0) )
            | ( ( ? [X11: $int,X12: $int] :
                  ! [X13: $int,X14: $int,X15: $int] :
                    ( ( select2('Heap',X11,X12) != X13 )
                    | ( select2('Heap',X11,ownerFrame) != X14 )
                    | ( select2('Heap',X11,ownerRef) != X15 )
                    | ( ( X13 != X13 )
                      & ( true_1 = 'IncludeInMainFrameCondition'(X12) )
                      & ( nullObject != X11 )
                      & ( true_1 = select2('Heap',X11,allocated) )
                      & ( ( 'PeerGroupPlaceholder' = X14 )
                        | ( true_1 != x(select2('Heap',X15,inv),X14) )
                        | ( select2('Heap',X15,localinv) = 'BaseClass'(X14) ) ) ) )
                | ( ( ( stack0b_0 = true_1 )
                  <~> ( X0 = 0 ) )
                  & ! [X16: $int,X17: $int] :
                    ? [X18: $int,X19: $int,X20: $int] :
                      ( ( select2('Heap',X16,X17) = X18 )
                      & ( select2('Heap',X16,ownerFrame) = X19 )
                      & ( select2('Heap',X16,ownerRef) = X20 )
                      & ( ( X18 = X18 )
                        | ( true_1 != 'IncludeInMainFrameCondition'(X17) )
                        | ( nullObject = X16 )
                        | ( true_1 != select2('Heap',X16,allocated) )
                        | ( ( 'PeerGroupPlaceholder' != X19 )
                          & ( true_1 = x(select2('Heap',X20,inv),X19) )
                          & ( select2('Heap',X20,localinv) != 'BaseClass'(X19) ) ) ) ) ) )
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ( stack0b_0 = false_1 )
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ( stack0i_0 != 0 )
              & ~ $less(0,0)
              & ~ $less(0,0) ) )
          & ~ $less(0,0)
          & ~ $less(0,0)
          & ( stack0i_0 = X0 )
          & ( 2 != 0 ) ) )
      & ( 'BeingConstructed' = nullObject )
      & ( 'PurityAxiomsCanBeAssumed' = true_1 )
      & ( 'InRange'(x_3,'System_Int32') = true_1 )
      & ( 'InRange'(x_in,'System_Int32') = true_1 )
      & ( 'IsHeap'('Heap') = true_1 ) ),
    inference(flattening,[],[f36]) ).

tff(f38,definition,
    ! [X0: $int] :
      ( ( ( ( stack0b_0 = true_1 )
        <~> ( X0 = 0 ) )
        & ! [X16: $int,X17: $int] :
          ? [X18: $int,X19: $int,X20: $int] :
            ( ( select2('Heap',X16,X17) = X18 )
            & ( select2('Heap',X16,ownerFrame) = X19 )
            & ( select2('Heap',X16,ownerRef) = X20 )
            & ( ( X18 = X18 )
              | ( true_1 != 'IncludeInMainFrameCondition'(X17) )
              | ( nullObject = X16 )
              | ( true_1 != select2('Heap',X16,allocated) )
              | ( ( 'PeerGroupPlaceholder' != X19 )
                & ( true_1 = x(select2('Heap',X20,inv),X19) )
                & ( select2('Heap',X20,localinv) != 'BaseClass'(X19) ) ) ) ) )
      | ~ sP0(X0) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

tff(f39,definition,
    ! [X0: $int] :
      ( ? [X11: $int,X12: $int] :
        ! [X13: $int,X14: $int,X15: $int] :
          ( ( select2('Heap',X11,X12) != X13 )
          | ( select2('Heap',X11,ownerFrame) != X14 )
          | ( select2('Heap',X11,ownerRef) != X15 )
          | ( ( X13 != X13 )
            & ( true_1 = 'IncludeInMainFrameCondition'(X12) )
            & ( nullObject != X11 )
            & ( true_1 = select2('Heap',X11,allocated) )
            & ( ( 'PeerGroupPlaceholder' = X14 )
              | ( true_1 != x(select2('Heap',X15,inv),X14) )
              | ( select2('Heap',X15,localinv) = 'BaseClass'(X14) ) ) ) )
      | sP0(X0)
      | ~ sP1(X0) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

tff(f40,definition,
    ! [X0: $int] :
      ( ( ( ( stack0b_0 = true_1 )
        <~> ( X0 = 0 ) )
        & ! [X6: $int,X7: $int] :
          ? [X8: $int,X9: $int,X10: $int] :
            ( ( select2('Heap',X6,X7) = X8 )
            & ( select2('Heap',X6,ownerFrame) = X9 )
            & ( select2('Heap',X6,ownerRef) = X10 )
            & ( ( X8 = X8 )
              | ( true_1 != 'IncludeInMainFrameCondition'(X7) )
              | ( nullObject = X6 )
              | ( true_1 != select2('Heap',X6,allocated) )
              | ( ( 'PeerGroupPlaceholder' != X9 )
                & ( true_1 = x(select2('Heap',X10,inv),X9) )
                & ( select2('Heap',X10,localinv) != 'BaseClass'(X9) ) ) ) ) )
      | ~ sP2(X0) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

tff(f41,definition,
    ! [X0: $int] :
      ( ? [X1: $int,X2: $int] :
        ! [X3: $int,X4: $int,X5: $int] :
          ( ( select2('Heap',X1,X2) != X3 )
          | ( select2('Heap',X1,ownerFrame) != X4 )
          | ( select2('Heap',X1,ownerRef) != X5 )
          | ( ( X3 != X3 )
            & ( true_1 = 'IncludeInMainFrameCondition'(X2) )
            & ( nullObject != X1 )
            & ( true_1 = select2('Heap',X1,allocated) )
            & ( ( X4 = 'PeerGroupPlaceholder' )
              | ( x(select2('Heap',X5,inv),X4) != true_1 )
              | ( select2('Heap',X5,localinv) = 'BaseClass'(X4) ) ) ) )
      | sP2(X0)
      | ~ sP3(X0) ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

tff(f42,definition,
    ! [X0: $int] :
      ( ( sP1(X0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ( stack0b_0 = false_1 )
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ( stack0i_0 != 0 )
        & ~ $less(0,0)
        & ~ $less(0,0) )
      | ~ sP4(X0) ),
    introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).

tff(f43,definition,
    ! [X0: $int] :
      ( ( sP3(X0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ( stack0b_0 = true_1 )
        & ~ $less(stack0i_0,0)
        & ~ $less(0,stack0i_0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(stack0i_0,0)
        & ~ $less(0,stack0i_0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(stack0i_0,0)
        & ~ $less(0,stack0i_0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ( stack0i_0 = 0 )
        & ~ $less(0,0)
        & ~ $less(0,0) )
      | ~ sP5(X0) ),
    introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).

tff(f44,plain,
    ? [X0: $int] :
      ( ( X0 = x_1(x_in,2) )
      & ( ( 2 = 0 )
        | ( ( sP5(X0)
            | sP4(X0) )
          & ~ $less(0,0)
          & ~ $less(0,0)
          & ( stack0i_0 = X0 )
          & ( 2 != 0 ) ) )
      & ( 'BeingConstructed' = nullObject )
      & ( 'PurityAxiomsCanBeAssumed' = true_1 )
      & ( 'InRange'(x_3,'System_Int32') = true_1 )
      & ( 'InRange'(x_in,'System_Int32') = true_1 )
      & ( 'IsHeap'('Heap') = true_1 ) ),
    inference(definition_folding,[],[f37,f43,f42,f41,f40,f39,f38]) ).

tff(f45,plain,
    ( ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 )
    & ! [X3: $int,X4: $int,X5: $int,X6: $int] :
        ( ( select1(store1(X3,X4,X6),X5) = select1(X3,X5) )
        | ( X4 = X5 ) )
    & ! [X7: $int,X8: $int,X9: $int,X10: $int] : ( select2(store2(X7,X8,X9,X10),X8,X9) = X10 )
    & ! [X11: $int,X12: $int,X13: $int,X14: $int,X15: $int,X16: $int] :
        ( ( select2(store2(X11,X12,X13,X16),X14,X15) = select2(X11,X14,X15) )
        | ( X12 = X14 ) )
    & ! [X17: $int,X18: $int,X19: $int,X20: $int,X21: $int,X22: $int] :
        ( ( select2(store2(X17,X18,X19,X22),X20,X21) = select2(X17,X20,X21) )
        | ( X19 = X21 ) )
    & ! [X23: $int,X24: $int] :
        ( ( ( true_1 = boolIff(X23,X24) )
          | ( ( ( true_1 != X24 )
              | ( true_1 != X23 ) )
            & ( ( true_1 = X24 )
              | ( true_1 = X23 ) ) ) )
        & ( ( ( ( true_1 = X23 )
              | ( true_1 != X24 ) )
            & ( ( true_1 = X24 )
              | ( true_1 != X23 ) ) )
          | ( true_1 != boolIff(X23,X24) ) ) )
    & ! [X25: $int,X26: $int] :
        ( ( ( true_1 = boolImplies(X25,X26) )
          | ( ( true_1 != X26 )
            & ( true_1 = X25 ) ) )
        & ( ( true_1 = X26 )
          | ( true_1 != X25 )
          | ( true_1 != boolImplies(X25,X26) ) ) )
    & ! [X27: $int,X28: $int] :
        ( ( ( true_1 = boolAnd(X27,X28) )
          | ( true_1 != X27 )
          | ( true_1 != X28 ) )
        & ( ( ( true_1 = X27 )
            & ( true_1 = X28 ) )
          | ( true_1 != boolAnd(X27,X28) ) ) )
    & ! [X29: $int,X30: $int] :
        ( ( ( true_1 = boolOr(X29,X30) )
          | ( ( true_1 != X29 )
            & ( true_1 != X30 ) ) )
        & ( ( true_1 = X29 )
          | ( true_1 = X30 )
          | ( true_1 != boolOr(X29,X30) ) ) )
    & ! [X31: $int] :
        ( ( ( true_1 = boolNot(X31) )
          | ( true_1 = X31 ) )
        & ( ( true_1 != X31 )
          | ( true_1 != boolNot(X31) ) ) )
    & ! [X32: $int,X33: $int] :
        ( ( ( true_1 = anyEqual(X32,X33) )
          | ( X32 != X33 ) )
        & ( ( X32 = X33 )
          | ( true_1 != anyEqual(X32,X33) ) ) )
    & ! [X34: $int,X35: $int] :
        ( ( ( true_1 = anyNeq(X34,X35) )
          | ( X34 = X35 ) )
        & ( ( X34 != X35 )
          | ( true_1 != anyNeq(X34,X35) ) ) )
    & ! [X36: $int,X37: $int] :
        ( ( ( true_1 = intLess(X36,X37) )
          | ~ $less(X36,X37) )
        & ( $less(X36,X37)
          | ( true_1 != intLess(X36,X37) ) ) )
    & ! [X38: $int,X39: $int] :
        ( ( ( true_1 = intAtMost(X38,X39) )
          | $less(X39,X38) )
        & ( ~ $less(X39,X38)
          | ( true_1 != intAtMost(X38,X39) ) ) )
    & ! [X40: $int,X41: $int] :
        ( ( ( true_1 = intAtLeast(X40,X41) )
          | $less(X40,X41) )
        & ( ~ $less(X40,X41)
          | ( true_1 != intAtLeast(X40,X41) ) ) )
    & ! [X42: $int,X43: $int] :
        ( ( ( true_1 = intGreater(X42,X43) )
          | ~ $less(X43,X42) )
        & ( $less(X43,X42)
          | ( true_1 != intGreater(X42,X43) ) ) )
    & ( true_1 != false_1 )
    & ! [X44: $int] : ( true_1 = x(X44,X44) )
    & ! [X45: $int,X46: $int,X47: $int] :
        ( ( true_1 = x(X45,X47) )
        | ( true_1 != x(X45,X46) )
        | ( true_1 != x(X46,X47) ) )
    & ! [X48: $int,X49: $int] :
        ( ( X48 = X49 )
        | ( true_1 != x(X48,X49) )
        | ( true_1 != x(X49,X48) ) ) ),
    inference(nnf_transformation,[],[f33]) ).

tff(f46,plain,
    ( ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 )
    & ! [X3: $int,X4: $int,X5: $int,X6: $int] :
        ( ( select1(store1(X3,X4,X6),X5) = select1(X3,X5) )
        | ( X4 = X5 ) )
    & ! [X7: $int,X8: $int,X9: $int,X10: $int] : ( select2(store2(X7,X8,X9,X10),X8,X9) = X10 )
    & ! [X11: $int,X12: $int,X13: $int,X14: $int,X15: $int,X16: $int] :
        ( ( select2(store2(X11,X12,X13,X16),X14,X15) = select2(X11,X14,X15) )
        | ( X12 = X14 ) )
    & ! [X17: $int,X18: $int,X19: $int,X20: $int,X21: $int,X22: $int] :
        ( ( select2(store2(X17,X18,X19,X22),X20,X21) = select2(X17,X20,X21) )
        | ( X19 = X21 ) )
    & ! [X23: $int,X24: $int] :
        ( ( ( true_1 = boolIff(X23,X24) )
          | ( ( ( true_1 != X24 )
              | ( true_1 != X23 ) )
            & ( ( true_1 = X24 )
              | ( true_1 = X23 ) ) ) )
        & ( ( ( ( true_1 = X23 )
              | ( true_1 != X24 ) )
            & ( ( true_1 = X24 )
              | ( true_1 != X23 ) ) )
          | ( true_1 != boolIff(X23,X24) ) ) )
    & ! [X25: $int,X26: $int] :
        ( ( ( true_1 = boolImplies(X25,X26) )
          | ( ( true_1 != X26 )
            & ( true_1 = X25 ) ) )
        & ( ( true_1 = X26 )
          | ( true_1 != X25 )
          | ( true_1 != boolImplies(X25,X26) ) ) )
    & ! [X27: $int,X28: $int] :
        ( ( ( true_1 = boolAnd(X27,X28) )
          | ( true_1 != X27 )
          | ( true_1 != X28 ) )
        & ( ( ( true_1 = X27 )
            & ( true_1 = X28 ) )
          | ( true_1 != boolAnd(X27,X28) ) ) )
    & ! [X29: $int,X30: $int] :
        ( ( ( true_1 = boolOr(X29,X30) )
          | ( ( true_1 != X29 )
            & ( true_1 != X30 ) ) )
        & ( ( true_1 = X29 )
          | ( true_1 = X30 )
          | ( true_1 != boolOr(X29,X30) ) ) )
    & ! [X31: $int] :
        ( ( ( true_1 = boolNot(X31) )
          | ( true_1 = X31 ) )
        & ( ( true_1 != X31 )
          | ( true_1 != boolNot(X31) ) ) )
    & ! [X32: $int,X33: $int] :
        ( ( ( true_1 = anyEqual(X32,X33) )
          | ( X32 != X33 ) )
        & ( ( X32 = X33 )
          | ( true_1 != anyEqual(X32,X33) ) ) )
    & ! [X34: $int,X35: $int] :
        ( ( ( true_1 = anyNeq(X34,X35) )
          | ( X34 = X35 ) )
        & ( ( X34 != X35 )
          | ( true_1 != anyNeq(X34,X35) ) ) )
    & ! [X36: $int,X37: $int] :
        ( ( ( true_1 = intLess(X36,X37) )
          | ~ $less(X36,X37) )
        & ( $less(X36,X37)
          | ( true_1 != intLess(X36,X37) ) ) )
    & ! [X38: $int,X39: $int] :
        ( ( ( true_1 = intAtMost(X38,X39) )
          | $less(X39,X38) )
        & ( ~ $less(X39,X38)
          | ( true_1 != intAtMost(X38,X39) ) ) )
    & ! [X40: $int,X41: $int] :
        ( ( ( true_1 = intAtLeast(X40,X41) )
          | $less(X40,X41) )
        & ( ~ $less(X40,X41)
          | ( true_1 != intAtLeast(X40,X41) ) ) )
    & ! [X42: $int,X43: $int] :
        ( ( ( true_1 = intGreater(X42,X43) )
          | ~ $less(X43,X42) )
        & ( $less(X43,X42)
          | ( true_1 != intGreater(X42,X43) ) ) )
    & ( true_1 != false_1 )
    & ! [X44: $int] : ( true_1 = x(X44,X44) )
    & ! [X45: $int,X46: $int,X47: $int] :
        ( ( true_1 = x(X45,X47) )
        | ( true_1 != x(X45,X46) )
        | ( true_1 != x(X46,X47) ) )
    & ! [X48: $int,X49: $int] :
        ( ( X48 = X49 )
        | ( true_1 != x(X48,X49) )
        | ( true_1 != x(X49,X48) ) ) ),
    inference(flattening,[],[f45]) ).

tff(f51,plain,
    ! [X0: $int] :
      ( ( sP3(X0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ( stack0b_0 = true_1 )
        & ~ $less(stack0i_0,0)
        & ~ $less(0,stack0i_0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(stack0i_0,0)
        & ~ $less(0,stack0i_0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(stack0i_0,0)
        & ~ $less(0,stack0i_0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ( stack0i_0 = 0 )
        & ~ $less(0,0)
        & ~ $less(0,0) )
      | ~ sP5(X0) ),
    inference(nnf_transformation,[],[f43]) ).

tff(f52,plain,
    ! [X0: $int] :
      ( ( sP1(X0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ( stack0b_0 = false_1 )
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ( stack0i_0 != 0 )
        & ~ $less(0,0)
        & ~ $less(0,0) )
      | ~ sP4(X0) ),
    inference(nnf_transformation,[],[f42]) ).

tff(f53,plain,
    ! [X0: $int] :
      ( ? [X1: $int,X2: $int] :
        ! [X3: $int,X4: $int,X5: $int] :
          ( ( select2('Heap',X1,X2) != X3 )
          | ( select2('Heap',X1,ownerFrame) != X4 )
          | ( select2('Heap',X1,ownerRef) != X5 )
          | ( ( X3 != X3 )
            & ( true_1 = 'IncludeInMainFrameCondition'(X2) )
            & ( nullObject != X1 )
            & ( true_1 = select2('Heap',X1,allocated) )
            & ( ( X4 = 'PeerGroupPlaceholder' )
              | ( x(select2('Heap',X5,inv),X4) != true_1 )
              | ( select2('Heap',X5,localinv) = 'BaseClass'(X4) ) ) ) )
      | sP2(X0)
      | ~ sP3(X0) ),
    inference(nnf_transformation,[],[f41]) ).

tff(f54,plain,
    ! [X0: $int] :
      ( ! [X3: $int,X4: $int,X5: $int] :
          ( ( select2('Heap',sK63,sK64) != X3 )
          | ( select2('Heap',sK63,ownerFrame) != X4 )
          | ( select2('Heap',sK63,ownerRef) != X5 )
          | ( ( X3 != X3 )
            & ( true_1 = 'IncludeInMainFrameCondition'(sK64) )
            & ( nullObject != sK63 )
            & ( true_1 = select2('Heap',sK63,allocated) )
            & ( ( X4 = 'PeerGroupPlaceholder' )
              | ( x(select2('Heap',X5,inv),X4) != true_1 )
              | ( select2('Heap',X5,localinv) = 'BaseClass'(X4) ) ) ) )
      | sP2(X0)
      | ~ sP3(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK63,sK64]),skolemize(X1,sK63),skolemize(X2,sK64)],[f53]) ).

tff(f55,plain,
    ! [X0: $int] :
      ( ( ( ( 0 != X0 )
          | ( true_1 != stack0b_0 ) )
        & ( ( X0 = 0 )
          | ( stack0b_0 = true_1 ) )
        & ! [X6: $int,X7: $int] :
          ? [X8: $int,X9: $int,X10: $int] :
            ( ( select2('Heap',X6,X7) = X8 )
            & ( select2('Heap',X6,ownerFrame) = X9 )
            & ( select2('Heap',X6,ownerRef) = X10 )
            & ( ( X8 = X8 )
              | ( true_1 != 'IncludeInMainFrameCondition'(X7) )
              | ( nullObject = X6 )
              | ( true_1 != select2('Heap',X6,allocated) )
              | ( ( 'PeerGroupPlaceholder' != X9 )
                & ( true_1 = x(select2('Heap',X10,inv),X9) )
                & ( select2('Heap',X10,localinv) != 'BaseClass'(X9) ) ) ) ) )
      | ~ sP2(X0) ),
    inference(nnf_transformation,[],[f40]) ).

tff(f56,plain,
    ! [X0: $int] :
      ( ( ( ( 0 != X0 )
          | ( true_1 != stack0b_0 ) )
        & ( ( X0 = 0 )
          | ( stack0b_0 = true_1 ) )
        & ! [X6: $int,X7: $int] :
          ? [X8: $int,X9: $int,X10: $int] :
            ( ( select2('Heap',X6,X7) = X8 )
            & ( select2('Heap',X6,ownerFrame) = X9 )
            & ( select2('Heap',X6,ownerRef) = X10 )
            & ( ( X8 = X8 )
              | ( true_1 != 'IncludeInMainFrameCondition'(X7) )
              | ( nullObject = X6 )
              | ( true_1 != select2('Heap',X6,allocated) )
              | ( ( 'PeerGroupPlaceholder' != X9 )
                & ( true_1 = x(select2('Heap',X10,inv),X9) )
                & ( select2('Heap',X10,localinv) != 'BaseClass'(X9) ) ) ) ) )
      | ~ sP2(X0) ),
    inference(flattening,[],[f55]) ).

tff(f57,plain,
    ! [X0: $int] :
      ( ( ( ( 0 != X0 )
          | ( true_1 != stack0b_0 ) )
        & ( ( X0 = 0 )
          | ( stack0b_0 = true_1 ) )
        & ! [X1: $int,X2: $int] :
          ? [X3: $int,X4: $int,X5: $int] :
            ( ( select2('Heap',X1,X2) = X3 )
            & ( select2('Heap',X1,ownerFrame) = X4 )
            & ( select2('Heap',X1,ownerRef) = X5 )
            & ( ( X3 = X3 )
              | ( true_1 != 'IncludeInMainFrameCondition'(X2) )
              | ( nullObject = X1 )
              | ( true_1 != select2('Heap',X1,allocated) )
              | ( ( 'PeerGroupPlaceholder' != X4 )
                & ( true_1 = x(select2('Heap',X5,inv),X4) )
                & ( 'BaseClass'(X4) != select2('Heap',X5,localinv) ) ) ) ) )
      | ~ sP2(X0) ),
    inference(rectify,[],[f56]) ).

tff(f58,plain,
    ! [X0: $int] :
      ( ( ( ( 0 != X0 )
          | ( true_1 != stack0b_0 ) )
        & ( ( X0 = 0 )
          | ( stack0b_0 = true_1 ) )
        & ! [X1: $int,X2: $int] :
            ( ( select2('Heap',X1,X2) = sK65(X1,X2) )
            & ( select2('Heap',X1,ownerFrame) = sK66(X1,X2) )
            & ( select2('Heap',X1,ownerRef) = sK67(X1,X2) )
            & ( ( sK65(X1,X2) = sK65(X1,X2) )
              | ( true_1 != 'IncludeInMainFrameCondition'(X2) )
              | ( nullObject = X1 )
              | ( true_1 != select2('Heap',X1,allocated) )
              | ( ( 'PeerGroupPlaceholder' != sK66(X1,X2) )
                & ( true_1 = x(select2('Heap',sK67(X1,X2),inv),sK66(X1,X2)) )
                & ( 'BaseClass'(sK66(X1,X2)) != select2('Heap',sK67(X1,X2),localinv) ) ) ) ) )
      | ~ sP2(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK65,sK66,sK67]),skolemize(X3,sK65(X1,X2)),skolemize(X4,sK66(X1,X2)),skolemize(X5,sK67(X1,X2))],[f57]) ).

tff(f59,plain,
    ! [X0: $int] :
      ( ? [X11: $int,X12: $int] :
        ! [X13: $int,X14: $int,X15: $int] :
          ( ( select2('Heap',X11,X12) != X13 )
          | ( select2('Heap',X11,ownerFrame) != X14 )
          | ( select2('Heap',X11,ownerRef) != X15 )
          | ( ( X13 != X13 )
            & ( true_1 = 'IncludeInMainFrameCondition'(X12) )
            & ( nullObject != X11 )
            & ( true_1 = select2('Heap',X11,allocated) )
            & ( ( 'PeerGroupPlaceholder' = X14 )
              | ( true_1 != x(select2('Heap',X15,inv),X14) )
              | ( select2('Heap',X15,localinv) = 'BaseClass'(X14) ) ) ) )
      | sP0(X0)
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f39]) ).

tff(f60,plain,
    ! [X0: $int] :
      ( ? [X1: $int,X2: $int] :
        ! [X3: $int,X4: $int,X5: $int] :
          ( ( select2('Heap',X1,X2) != X3 )
          | ( select2('Heap',X1,ownerFrame) != X4 )
          | ( select2('Heap',X1,ownerRef) != X5 )
          | ( ( X3 != X3 )
            & ( true_1 = 'IncludeInMainFrameCondition'(X2) )
            & ( nullObject != X1 )
            & ( true_1 = select2('Heap',X1,allocated) )
            & ( ( 'PeerGroupPlaceholder' = X4 )
              | ( true_1 != x(select2('Heap',X5,inv),X4) )
              | ( 'BaseClass'(X4) = select2('Heap',X5,localinv) ) ) ) )
      | sP0(X0)
      | ~ sP1(X0) ),
    inference(rectify,[],[f59]) ).

tff(f61,plain,
    ! [X0: $int] :
      ( ! [X3: $int,X4: $int,X5: $int] :
          ( ( select2('Heap',sK68,sK69) != X3 )
          | ( select2('Heap',sK68,ownerFrame) != X4 )
          | ( select2('Heap',sK68,ownerRef) != X5 )
          | ( ( X3 != X3 )
            & ( true_1 = 'IncludeInMainFrameCondition'(sK69) )
            & ( nullObject != sK68 )
            & ( true_1 = select2('Heap',sK68,allocated) )
            & ( ( 'PeerGroupPlaceholder' = X4 )
              | ( true_1 != x(select2('Heap',X5,inv),X4) )
              | ( 'BaseClass'(X4) = select2('Heap',X5,localinv) ) ) ) )
      | sP0(X0)
      | ~ sP1(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK68,sK69]),skolemize(X1,sK68),skolemize(X2,sK69)],[f60]) ).

tff(f62,plain,
    ! [X0: $int] :
      ( ( ( ( 0 != X0 )
          | ( true_1 != stack0b_0 ) )
        & ( ( X0 = 0 )
          | ( stack0b_0 = true_1 ) )
        & ! [X16: $int,X17: $int] :
          ? [X18: $int,X19: $int,X20: $int] :
            ( ( select2('Heap',X16,X17) = X18 )
            & ( select2('Heap',X16,ownerFrame) = X19 )
            & ( select2('Heap',X16,ownerRef) = X20 )
            & ( ( X18 = X18 )
              | ( true_1 != 'IncludeInMainFrameCondition'(X17) )
              | ( nullObject = X16 )
              | ( true_1 != select2('Heap',X16,allocated) )
              | ( ( 'PeerGroupPlaceholder' != X19 )
                & ( true_1 = x(select2('Heap',X20,inv),X19) )
                & ( select2('Heap',X20,localinv) != 'BaseClass'(X19) ) ) ) ) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f38]) ).

tff(f63,plain,
    ! [X0: $int] :
      ( ( ( ( 0 != X0 )
          | ( true_1 != stack0b_0 ) )
        & ( ( X0 = 0 )
          | ( stack0b_0 = true_1 ) )
        & ! [X16: $int,X17: $int] :
          ? [X18: $int,X19: $int,X20: $int] :
            ( ( select2('Heap',X16,X17) = X18 )
            & ( select2('Heap',X16,ownerFrame) = X19 )
            & ( select2('Heap',X16,ownerRef) = X20 )
            & ( ( X18 = X18 )
              | ( true_1 != 'IncludeInMainFrameCondition'(X17) )
              | ( nullObject = X16 )
              | ( true_1 != select2('Heap',X16,allocated) )
              | ( ( 'PeerGroupPlaceholder' != X19 )
                & ( true_1 = x(select2('Heap',X20,inv),X19) )
                & ( select2('Heap',X20,localinv) != 'BaseClass'(X19) ) ) ) ) )
      | ~ sP0(X0) ),
    inference(flattening,[],[f62]) ).

tff(f64,plain,
    ! [X0: $int] :
      ( ( ( ( 0 != X0 )
          | ( true_1 != stack0b_0 ) )
        & ( ( X0 = 0 )
          | ( stack0b_0 = true_1 ) )
        & ! [X1: $int,X2: $int] :
          ? [X3: $int,X4: $int,X5: $int] :
            ( ( select2('Heap',X1,X2) = X3 )
            & ( select2('Heap',X1,ownerFrame) = X4 )
            & ( select2('Heap',X1,ownerRef) = X5 )
            & ( ( X3 = X3 )
              | ( true_1 != 'IncludeInMainFrameCondition'(X2) )
              | ( nullObject = X1 )
              | ( true_1 != select2('Heap',X1,allocated) )
              | ( ( 'PeerGroupPlaceholder' != X4 )
                & ( true_1 = x(select2('Heap',X5,inv),X4) )
                & ( 'BaseClass'(X4) != select2('Heap',X5,localinv) ) ) ) ) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f63]) ).

tff(f65,plain,
    ! [X0: $int] :
      ( ( ( ( 0 != X0 )
          | ( true_1 != stack0b_0 ) )
        & ( ( X0 = 0 )
          | ( stack0b_0 = true_1 ) )
        & ! [X1: $int,X2: $int] :
            ( ( select2('Heap',X1,X2) = sK70(X1,X2) )
            & ( select2('Heap',X1,ownerFrame) = sK71(X1,X2) )
            & ( select2('Heap',X1,ownerRef) = sK72(X1,X2) )
            & ( ( sK70(X1,X2) = sK70(X1,X2) )
              | ( true_1 != 'IncludeInMainFrameCondition'(X2) )
              | ( nullObject = X1 )
              | ( true_1 != select2('Heap',X1,allocated) )
              | ( ( 'PeerGroupPlaceholder' != sK71(X1,X2) )
                & ( true_1 = x(select2('Heap',sK72(X1,X2),inv),sK71(X1,X2)) )
                & ( 'BaseClass'(sK71(X1,X2)) != select2('Heap',sK72(X1,X2),localinv) ) ) ) ) )
      | ~ sP0(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK70,sK71,sK72]),skolemize(X3,sK70(X1,X2)),skolemize(X4,sK71(X1,X2)),skolemize(X5,sK72(X1,X2))],[f64]) ).

tff(f66,plain,
    ( ( x_1(x_in,2) = sK73 )
    & ( ( 2 = 0 )
      | ( ( sP5(sK73)
          | sP4(sK73) )
        & ~ $less(0,0)
        & ~ $less(0,0)
        & ( stack0i_0 = sK73 )
        & ( 2 != 0 ) ) )
    & ( 'BeingConstructed' = nullObject )
    & ( 'PurityAxiomsCanBeAssumed' = true_1 )
    & ( 'InRange'(x_3,'System_Int32') = true_1 )
    & ( 'InRange'(x_in,'System_Int32') = true_1 )
    & ( 'IsHeap'('Heap') = true_1 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(X0,sK73)],[f44]) ).

tff(f70,plain,
    true_1 != false_1,
    inference(cnf_transformation,[],[f46]) ).

tff(f1444,plain,
    ! [X0: $int] :
      ( ( 0 = stack0i_0 )
      | ~ sP5(X0) ),
    inference(cnf_transformation,[],[f51]) ).

tff(f1457,plain,
    ! [X0: $int] :
      ( ( true_1 = stack0b_0 )
      | ~ sP5(X0) ),
    inference(cnf_transformation,[],[f51]) ).

tff(f1466,plain,
    ! [X0: $int] :
      ( ~ sP5(X0)
      | sP3(X0) ),
    inference(cnf_transformation,[],[f51]) ).

tff(f1469,plain,
    ! [X0: $int] :
      ( ( 0 != stack0i_0 )
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f52]) ).

tff(f1476,plain,
    ! [X0: $int] :
      ( ( false_1 = stack0b_0 )
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f52]) ).

tff(f1485,plain,
    ! [X0: $int] :
      ( ~ sP4(X0)
      | sP1(X0) ),
    inference(cnf_transformation,[],[f52]) ).

tff(f1490,plain,
    ! [X3: $int,X0: $int,X4: $int,X5: $int] :
      ( ( select2('Heap',sK63,sK64) != X3 )
      | ( select2('Heap',sK63,ownerFrame) != X4 )
      | ( select2('Heap',sK63,ownerRef) != X5 )
      | ( X3 != X3 )
      | sP2(X0)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f54]) ).

tff(f1498,plain,
    ! [X0: $int] :
      ( ( 0 != X0 )
      | ( true_1 != stack0b_0 )
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f58]) ).

tff(f1503,plain,
    ! [X3: $int,X0: $int,X4: $int,X5: $int] :
      ( ( select2('Heap',sK68,sK69) != X3 )
      | ( select2('Heap',sK68,ownerFrame) != X4 )
      | ( select2('Heap',sK68,ownerRef) != X5 )
      | ( X3 != X3 )
      | sP0(X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f61]) ).

tff(f1510,plain,
    ! [X0: $int] :
      ( ( 0 = X0 )
      | ( true_1 = stack0b_0 )
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f65]) ).

tff(f1515,plain,
    true_1 = 'PurityAxiomsCanBeAssumed',
    inference(cnf_transformation,[],[f66]) ).

tff(f1518,plain,
    ( ( 0 = 2 )
    | ( stack0i_0 = sK73 ) ),
    inference(cnf_transformation,[],[f66]) ).

tff(f1521,plain,
    ( ( 0 = 2 )
    | sP5(sK73)
    | sP4(sK73) ),
    inference(cnf_transformation,[],[f66]) ).

tff(f1559,plain,
    false_1 != 'PurityAxiomsCanBeAssumed',
    inference(definition_unfolding,[],[f70,f1515]) ).

tff(f1878,plain,
    ! [X0: $int] :
      ( ( 'PurityAxiomsCanBeAssumed' = stack0b_0 )
      | ~ sP5(X0) ),
    inference(definition_unfolding,[],[f1457,f1515]) ).

tff(f1883,plain,
    ! [X0: $int] :
      ( ( 0 != X0 )
      | ( 'PurityAxiomsCanBeAssumed' != stack0b_0 )
      | ~ sP2(X0) ),
    inference(definition_unfolding,[],[f1498,f1515]) ).

tff(f1893,plain,
    ! [X0: $int] :
      ( ( 0 = X0 )
      | ( 'PurityAxiomsCanBeAssumed' = stack0b_0 )
      | ~ sP0(X0) ),
    inference(definition_unfolding,[],[f1510,f1515]) ).

tff(f1928,plain,
    ! [X0: $int,X4: $int,X5: $int] :
      ( ( select2('Heap',sK63,ownerFrame) != X4 )
      | ( select2('Heap',sK63,ownerRef) != X5 )
      | ( select2('Heap',sK63,sK64) != select2('Heap',sK63,sK64) )
      | sP2(X0)
      | ~ sP3(X0) ),
    inference(equality_resolution,[],[f1490]) ).

tff(f1929,plain,
    ! [X0: $int,X5: $int] :
      ( ( select2('Heap',sK63,ownerRef) != X5 )
      | ( select2('Heap',sK63,sK64) != select2('Heap',sK63,sK64) )
      | sP2(X0)
      | ~ sP3(X0) ),
    inference(equality_resolution,[],[f1928]) ).

tff(f1930,plain,
    ! [X0: $int] :
      ( ( select2('Heap',sK63,sK64) != select2('Heap',sK63,sK64) )
      | sP2(X0)
      | ~ sP3(X0) ),
    inference(equality_resolution,[],[f1929]) ).

tff(f1943,plain,
    ( ( 'PurityAxiomsCanBeAssumed' != stack0b_0 )
    | ~ sP2(0) ),
    inference(equality_resolution,[],[f1883]) ).

tff(f1944,plain,
    ! [X0: $int,X4: $int,X5: $int] :
      ( ( select2('Heap',sK68,ownerFrame) != X4 )
      | ( select2('Heap',sK68,ownerRef) != X5 )
      | ( select2('Heap',sK68,sK69) != select2('Heap',sK68,sK69) )
      | sP0(X0)
      | ~ sP1(X0) ),
    inference(equality_resolution,[],[f1503]) ).

tff(f1945,plain,
    ! [X0: $int,X5: $int] :
      ( ( select2('Heap',sK68,ownerRef) != X5 )
      | ( select2('Heap',sK68,sK69) != select2('Heap',sK68,sK69) )
      | sP0(X0)
      | ~ sP1(X0) ),
    inference(equality_resolution,[],[f1944]) ).

tff(f1946,plain,
    ! [X0: $int] :
      ( ( select2('Heap',sK68,sK69) != select2('Heap',sK68,sK69) )
      | sP0(X0)
      | ~ sP1(X0) ),
    inference(equality_resolution,[],[f1945]) ).

tff(f1960,plain,
    stack0i_0 = sK73,
    inference(evaluation,[],[f1518]) ).

tff(f1961,plain,
    ( sP5(sK73)
    | sP4(sK73) ),
    inference(evaluation,[],[f1521]) ).

tff(f1962,plain,
    ! [X0: $int] :
      ( sP0(X0)
      | ~ sP1(X0) ),
    inference(trivial_inequality_removal,[],[f1946]) ).

tff(f1963,plain,
    ! [X0: $int] :
      ( sP2(X0)
      | ~ sP3(X0) ),
    inference(trivial_inequality_removal,[],[f1930]) ).

tff(f1991,definition,
    ( spl74_1
  <=> sP4(sK73) ),
    introduced(definition,[new_symbols(definition,[spl74_1])],[avatar_definition]) ).

tff(f1993,plain,
    ( sP4(sK73)
    | ~ spl74_1 ),
    inference(avatar_component_clause,[],[f1991]) ).

tff(f1995,definition,
    ( spl74_2
  <=> sP5(sK73) ),
    introduced(definition,[new_symbols(definition,[spl74_2])],[avatar_definition]) ).

tff(f1997,plain,
    ( sP5(sK73)
    | ~ spl74_2 ),
    inference(avatar_component_clause,[],[f1995]) ).

tff(f1998,plain,
    ( spl74_1
    | spl74_2 ),
    inference(avatar_split_clause,[],[f1961,f1995,f1991]) ).

tff(f2015,definition,
    ( spl74_7
  <=> ( 'PurityAxiomsCanBeAssumed' = stack0b_0 ) ),
    introduced(definition,[new_symbols(definition,[spl74_7])],[avatar_definition]) ).

tff(f2017,plain,
    ( ( 'PurityAxiomsCanBeAssumed' = stack0b_0 )
    | ~ spl74_7 ),
    inference(avatar_component_clause,[],[f2015]) ).

tff(f2019,definition,
    ( spl74_8
  <=> ! [X0: $int] :
        ( ( 0 = X0 )
        | ~ sP0(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl74_8])],[avatar_definition]) ).

tff(f2020,plain,
    ( ! [X0: $int] :
        ( ~ sP0(X0)
        | ( 0 = X0 ) )
    | ~ spl74_8 ),
    inference(avatar_component_clause,[],[f2019]) ).

tff(f2021,plain,
    ( spl74_7
    | spl74_8 ),
    inference(avatar_split_clause,[],[f1893,f2019,f2015]) ).

tff(f2028,definition,
    ( spl74_10
  <=> ! [X0: $int] :
        ( sP0(X0)
        | ~ sP1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl74_10])],[avatar_definition]) ).

tff(f2029,plain,
    ( ! [X0: $int] :
        ( ~ sP1(X0)
        | sP0(X0) )
    | ~ spl74_10 ),
    inference(avatar_component_clause,[],[f2028]) ).

tff(f2058,plain,
    spl74_10,
    inference(avatar_split_clause,[],[f1962,f2028]) ).

tff(f2079,definition,
    ( spl74_22
  <=> sP2(0) ),
    introduced(definition,[new_symbols(definition,[spl74_22])],[avatar_definition]) ).

tff(f2082,plain,
    ( ~ spl74_22
    | ~ spl74_7 ),
    inference(avatar_split_clause,[],[f1943,f2015,f2079]) ).

tff(f2084,definition,
    ( spl74_23
  <=> ! [X0: $int] :
        ( sP2(X0)
        | ~ sP3(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl74_23])],[avatar_definition]) ).

tff(f2085,plain,
    ( ! [X0: $int] :
        ( ~ sP3(X0)
        | sP2(X0) )
    | ~ spl74_23 ),
    inference(avatar_component_clause,[],[f2084]) ).

tff(f2114,plain,
    spl74_23,
    inference(avatar_split_clause,[],[f1963,f2084]) ).

tff(f2116,definition,
    ( spl74_30
  <=> ! [X0: $int] : ~ sP4(X0) ),
    introduced(definition,[new_symbols(definition,[spl74_30])],[avatar_definition]) ).

tff(f2117,plain,
    ( ! [X0: $int] : ~ sP4(X0)
    | ~ spl74_30 ),
    inference(avatar_component_clause,[],[f2116]) ).

tff(f2119,definition,
    ( spl74_31
  <=> ( 0 = stack0i_0 ) ),
    introduced(definition,[new_symbols(definition,[spl74_31])],[avatar_definition]) ).

tff(f2120,plain,
    ( ( 0 = stack0i_0 )
    | ~ spl74_31 ),
    inference(avatar_component_clause,[],[f2119]) ).

tff(f2121,plain,
    ( ( 0 != stack0i_0 )
    | spl74_31 ),
    inference(avatar_component_clause,[],[f2119]) ).

tff(f2122,plain,
    ( spl74_30
    | ~ spl74_31 ),
    inference(avatar_split_clause,[],[f1469,f2119,f2116]) ).

tff(f2124,definition,
    ( spl74_32
  <=> ( false_1 = stack0b_0 ) ),
    introduced(definition,[new_symbols(definition,[spl74_32])],[avatar_definition]) ).

tff(f2127,plain,
    ( spl74_30
    | spl74_32 ),
    inference(avatar_split_clause,[],[f1476,f2124,f2116]) ).

tff(f2129,definition,
    ( spl74_33
  <=> ! [X0: $int] : ~ sP5(X0) ),
    introduced(definition,[new_symbols(definition,[spl74_33])],[avatar_definition]) ).

tff(f2130,plain,
    ( ! [X0: $int] : ~ sP5(X0)
    | ~ spl74_33 ),
    inference(avatar_component_clause,[],[f2129]) ).

tff(f2131,plain,
    ( spl74_33
    | spl74_31 ),
    inference(avatar_split_clause,[],[f1444,f2119,f2129]) ).

tff(f2146,plain,
    ( spl74_33
    | spl74_7 ),
    inference(avatar_split_clause,[],[f1878,f2015,f2129]) ).

tff(f2236,plain,
    ( ( false_1 != stack0b_0 )
    | ~ spl74_7 ),
    inference(superposition,[],[f1559,f2017]) ).

tff(f2237,plain,
    ( ~ spl74_32
    | ~ spl74_7 ),
    inference(avatar_split_clause,[],[f2236,f2015,f2124]) ).

tff(f2241,plain,
    ( sP3(sK73)
    | ~ spl74_2 ),
    inference(resolution,[],[f1466,f1997]) ).

tff(f2245,plain,
    ( sP3(stack0i_0)
    | ~ spl74_2 ),
    inference(forward_demodulation,[],[f2241,f1960]) ).

tff(f2246,plain,
    ( sP3(0)
    | ~ spl74_2
    | ~ spl74_31 ),
    inference(forward_demodulation,[],[f2245,f2120]) ).

tff(f2347,plain,
    ( sP2(0)
    | ~ spl74_2
    | ~ spl74_23
    | ~ spl74_31 ),
    inference(resolution,[],[f2085,f2246]) ).

tff(f2350,plain,
    ( spl74_22
    | ~ spl74_2
    | ~ spl74_23
    | ~ spl74_31 ),
    inference(avatar_split_clause,[],[f2347,f2119,f2084,f1995,f2079]) ).

tff(f2352,plain,
    ( $false
    | ~ spl74_2
    | ~ spl74_33 ),
    inference(resolution,[],[f2130,f1997]) ).

tff(f2357,plain,
    ( ~ spl74_2
    | ~ spl74_33 ),
    inference(avatar_contradiction_clause,[],[f2352]) ).

tff(f2358,plain,
    ( $false
    | ~ spl74_1
    | ~ spl74_30 ),
    inference(forward_subsumption_resolution,[],[f1993,f2117]) ).

tff(f2359,plain,
    ( ~ spl74_1
    | ~ spl74_30 ),
    inference(avatar_contradiction_clause,[],[f2358]) ).

tff(f2361,plain,
    ( sP4(stack0i_0)
    | ~ spl74_1 ),
    inference(forward_demodulation,[],[f1993,f1960]) ).

tff(f2363,plain,
    ( sP1(stack0i_0)
    | ~ spl74_1 ),
    inference(resolution,[],[f1485,f2361]) ).

tff(f2364,plain,
    ( sP0(stack0i_0)
    | ~ spl74_1
    | ~ spl74_10 ),
    inference(resolution,[],[f2029,f2363]) ).

tff(f2394,plain,
    ( ( 0 = stack0i_0 )
    | ~ spl74_1
    | ~ spl74_8
    | ~ spl74_10 ),
    inference(resolution,[],[f2020,f2364]) ).

tff(f2395,plain,
    ( $false
    | ~ spl74_1
    | ~ spl74_8
    | ~ spl74_10
    | spl74_31 ),
    inference(forward_subsumption_resolution,[],[f2394,f2121]) ).

tff(f2396,plain,
    ( ~ spl74_1
    | ~ spl74_8
    | ~ spl74_10
    | spl74_31 ),
    inference(avatar_contradiction_clause,[],[f2395]) ).

cnf(s1,plain,
    ( spl74_1
    | spl74_2 ),
    inference(sat_conversion,[],[f1998]) ).

cnf(s5,plain,
    ( spl74_7
    | spl74_8 ),
    inference(sat_conversion,[],[f2021]) ).

cnf(s11,plain,
    spl74_10,
    inference(sat_conversion,[],[f2058]) ).

cnf(s16,plain,
    ( ~ spl74_7
    | ~ spl74_22 ),
    inference(sat_conversion,[],[f2082]) ).

cnf(s21,plain,
    spl74_23,
    inference(sat_conversion,[],[f2114]) ).

cnf(s22,plain,
    ( spl74_30
    | ~ spl74_31 ),
    inference(sat_conversion,[],[f2122]) ).

cnf(s23,plain,
    ( spl74_30
    | spl74_32 ),
    inference(sat_conversion,[],[f2127]) ).

cnf(s24,plain,
    ( spl74_31
    | spl74_33 ),
    inference(sat_conversion,[],[f2131]) ).

cnf(s31,plain,
    ( spl74_7
    | spl74_33 ),
    inference(sat_conversion,[],[f2146]) ).

cnf(s32,plain,
    ( ~ spl74_7
    | ~ spl74_32 ),
    inference(sat_conversion,[],[f2237]) ).

cnf(s35,plain,
    ( ~ spl74_2
    | spl74_22
    | ~ spl74_23
    | ~ spl74_31 ),
    inference(sat_conversion,[],[f2350]) ).

cnf(s38,plain,
    ( ~ spl74_2
    | ~ spl74_33 ),
    inference(sat_conversion,[],[f2357]) ).

cnf(s39,plain,
    ( ~ spl74_1
    | ~ spl74_30 ),
    inference(sat_conversion,[],[f2359]) ).

cnf(s41,plain,
    ( ~ spl74_1
    | ~ spl74_8
    | ~ spl74_10
    | spl74_31 ),
    inference(sat_conversion,[],[f2396]) ).

cnf(s42,plain,
    ~ spl74_2,
    inference(rat,[],[s35,s16,s24,s31,s38,s21]) ).

cnf(s43,plain,
    spl74_1,
    inference(rat,[],[s1,s42]) ).

cnf(s44,plain,
    ~ spl74_30,
    inference(rat,[],[s39,s43]) ).

cnf(s45,plain,
    spl74_32,
    inference(rat,[],[s23,s44]) ).

cnf(s46,plain,
    ~ spl74_31,
    inference(rat,[],[s22,s44]) ).

cnf(s48,plain,
    ~ spl74_7,
    inference(rat,[],[s32,s45]) ).

cnf(s50,plain,
    ~ spl74_8,
    inference(rat,[],[s41,s43,s11,s46]) ).

cnf(s55,plain,
    $false,
    inference(rat,[],[s5,s50,s48]) ).

tff(f2397,plain,
    $false,
    inference(avatar_sat_refutation,[],[s55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWW805_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.26  % Computer : n020.cluster.edu
% 0.10/0.26  % Model    : x86_64 x86_64
% 0.10/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26  % Memory   : 8046.5625MB
% 0.10/0.26  % OS       : Linux 6.8.0-71-generic
% 0.10/0.26  % CPULimit : 300
% 0.10/0.26  % WCLimit  : 300
% 0.10/0.26  % DateTime : Mon Sep 28 14:31:19 UTC 2026
% 0.10/0.26  % CPUTime  : 
% 0.10/0.26  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.27/0.31  Running first-order model finding
% 0.27/0.31  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/0.42  % (208489)Will run a generic schedule for satisfiability detection.
% 0.33/0.42  % (208498)dis+10_1_sil=32000:sp=arity:random_seed=363762278:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.33/0.42  % (208495)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2275672454_2999 on theBenchmark for (2999ds/0Mi)
% 0.33/0.42  % (208496)% WARNING: option uhcvi not known.
% 0.33/0.42  % (208497)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=668761623:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.33/0.42  % (208500)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4144445534:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.33/0.42  % (208496)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2463939961:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.33/0.42  % (208499)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2771317232:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.33/0.42  % (208501)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1511994438:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.33/0.42  % (208495)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.33/0.42  % (208495)Terminated due to inappropriate strategy.
% 0.33/0.42  % (208495)------------------------------
% 0.33/0.42  % (208495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.42  % (208495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.42  % (208495)CaDiCaL version: 2.1.3
% 0.33/0.42  % (208495)Termination reason: Inappropriate
% 0.33/0.42  % (208495)Time elapsed: 0.028 s
% 0.33/0.42  % (208495)Peak memory usage: 12 MB
% 0.33/0.42  % (208495)Instructions burned: 43 (million)
% 0.33/0.42  % (208495)------------------------------
% 0.33/0.42  % (208495)------------------------------
% 0.33/0.42  % (208498) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-208489-208498"...
% 0.33/0.42  % (208498)...printing done.
% 0.33/0.42  % (208498)Refutation found. Thanks to Tanya!
% 0.33/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.33/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.33/0.43  % (208498)------------------------------
% 0.33/0.43  % (208498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.43  % (208498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.43  % (208498)CaDiCaL version: 2.1.3
% 0.33/0.43  % (208498)Termination reason: Refutation
% 0.33/0.43  % (208498)Time elapsed: 0.044 s
% 0.33/0.43  % (208498)Peak memory usage: 15 MB
% 0.33/0.43  % (208498)Instructions burned: 108 (million)
% 0.33/0.43  % (208489)Success in time 0.101 s
% 0.33/0.43  % Vampire exiting
%------------------------------------------------------------------------------